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Finding the Fourth Proportional to 515.68, 772.49 and 310.14

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Solution

The fourth proportional to 515.68, 772.49 and 310.14 is: 464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.68 : 772.49 = 310.14 : x
  2. Step 2: Convert to fraction form
    515.68/772.49 = 310.14/x
  3. Step 3: Cross multiply
    515.68x = 772.49 × 310.14
  4. Step 4: Simplify right side
    515.68x = 239,578.65
  5. Step 5: Solve for x
    x = 239,578.65/515.68
  6. Step 6: Final answer
    x = 464.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.