My answer: Because "428/427 BCE
Plato was born in 428/427 BCE to a noble family and died in 348/347 BCE"(Meinwald 2023) he probably had a large impact on Hinduism which became popular "from about 320 to 550 CE"(Khan Academy). Thus maybe Plato heavily influenced Hinduism since the philosopher died before the religion gained popularity. Plus the Indian caste system may be an example of a fruit of Plato's concept of the Noble Lie. The Indian caste system is based on who reincarnated from who. Plato's Theory of Forms may also be a noble lie due to false induction. Thus further showcasing the problems of reincarnation belief. Plus in greater picture: "During the Gupta empire—from about 320 to 550 CE—emperors used Hinduism as a unifying religion and helped popularize it by promoting educational systems that included Hindu teachings; they also gave land to brahmins. The Gupta emperors helped make Hinduism the most popular religion on the Indian subcontinent"(Khan Academy).
Sources
Meinwald, Constance C.. "Plato". Encyclopedia Britannica, 9 Nov. 2023, https://www.britannica.com/biography/Plato. Accessed 20 November 2023.
Khan Academy . "During the Maurya and Gupta empires, the Indian culture and way of life were deeply influenced by Hinduism.." khanacademy.org . www.khanacademy.org/humanities/world-history/ancient-medieval/early-indian-empires/a/hinduism-in-indian-culture. Accessed 20 Nov. 2023.