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The phrase "a closer approximation of" is correct and usable in written English.
It can be used when discussing the degree of similarity or accuracy of one thing in relation to another.
Example: "The new model provides a closer approximation of the actual data compared to the previous version."
Alternatives: "a more accurate representation of" or "a nearer estimate of".
Exact(33)
Go for the tilapia instead ($17.95), a closer approximation of Mekong River fish.
Why is it important to achieve a closer approximation of the genetic reality in individual humans?
Similarly, arriving at a closer approximation of a poverty count allows us to better understand the magnitude of the problem.
In the end, Ball believes, "that's a closer approximation of the truth of experience, what it's like to live, than a single, supposedly objective account".
As we go to the higher levels of refinement of the map, it becomes a closer approximation of the state plan.
More bits enable finer distinctions to be made in audio voltage levels and, in turn, enable a closer approximation of the original sound wave.
Similar(27)
Revolving credit, a close approximation of credit card debt, totaled $939.6 billion in March.
Multiplying the tax by 909.1 will give a close approximation of the price.
The handsome built-in clothes closet was sponge-painted a close approximation of Aegean blue.
Her chapters on Reed's youth vividly portray him as a close approximation of the monster liberals imagine.
The result is a close approximation of a street-style skating environment, with realistic features like granite and railings.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com