All flowering trees on campus can be classified as being high producers of pollen, medium producers of pollen, or low producers of pollen. The high, medium, and low producers of pollen occur with probabilities 43%, 35%, and 22%, respectively. Of trees that are high producers of pollen, 77% flower in spring. Of trees that are medium producers of pollen, 51% flower in spring. Of trees that are low producers of pollen, 24% flower in spring.

Suppose a tree from campus is selected at random. If it is known that it flowers in spring, what is the probability that it is a medium producer of pollen? Give your answer accurate to 4 decimal places.