The phrase "actually based on a" is correct and usable in written English.
It can be used to clarify or emphasize the foundation or origin of something, often in a discussion or explanation.
Example: "The theory presented in the paper is actually based on a series of experiments conducted over the last decade."
Alternatives: "fundamentally rooted in a" or "essentially derived from a".
Nissan's crossover is actually based on a car chassis (the same one that underpins the 350Z sports car), and for that reason seems to drive very intuitively, so you can push hard without fear of going too far.
The car features a dual engine design, using one for road and one for doing through the air, and it's actually based on a classic style of aircraft design, called a 'gyroplane' which is a proven way of navigating the skies.
Sadly, this scene was actually based on a real incident.
It was actually based on a short story by Edgar Allan Poe, 30.
So [the illustration] is actually based on a bear called Growler," said Campbell.
That moment was actually based on a good friend of mine.
The medical program in one of the schools that was involved in the study is actually based on an Australian medical program.
It's a British comedy classic, but the story is actually based on an episode of the 1950s US series I Love Lucy entitled Men are Messy, made more than 20 years earlier.
But the advertisement was actually based on an NBC News interview in which Mr. Gore was talking about his criticism of Oliver L. North, who was then a Senate candidate in Virginia.
Marx's sense of the development of the history of society rather than believing in automaticity is actually based on an analysis of self-generating and contingent contradictions within society.
So it is unsurprising that although their latest exhibition - a collection of artworks made from postcards sourced from British souvenir shops- looks harmless enough, the series is actually based on "an angulated sign of the urethra".
