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Finding the Fourth Proportional to 515.81, 772.94 and 310.16

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Solution

The fourth proportional to 515.81, 772.94 and 310.16 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.81 : 772.94 = 310.16 : x
  2. Step 2: Convert to fraction form
    515.81/772.94 = 310.16/x
  3. Step 3: Cross multiply
    515.81x = 772.94 × 310.16
  4. Step 4: Simplify right side
    515.81x = 239,731.98
  5. Step 5: Solve for x
    x = 239,731.98/515.81
  6. Step 6: Final answer
    x = 464.77

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Why These Related Problems?

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