"She walks most gracefully" could be a synonym for "She walks quite gracefully". But "she walks most gracefully" may be accustomed to signify "she walks by far the most gracefully". So, the version with no "the" carries both equally meanings (or sets of meanings). Now, you could be thinking that https://a-listdirectory.com/listings13475198/the-fact-about-best-ayurvedic-medicine-for-high-triglycerides-that-no-one-is-suggesting