The following sentence is in a business letter.

To be fit, you should get enough sleep, exercise regularly, and eat a healthy diet.

I would replace "you" with "one".
Would that be correct?

Yes. That's correct.

To determine whether replacing "you" with "one" in the given sentence is correct, let's first understand the difference between the two pronouns.

"You" is a personal pronoun that refers to the person or people being addressed directly. It is used in a more informal or conversational context.

"On the other hand, "one" is a more formal pronoun used to generalize and refer to any person or people. It is typically used in more formal or professional writing, such as business letters.

In the context of a business letter, using "one" instead of "you" is more appropriate as it maintains a professional tone and avoids sounding too informal.

So, yes, replacing "you" with "one" would be correct in this case.