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Finding the Fourth Proportional to 516.38, 772.88 and 477.90

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Solution

The fourth proportional to 516.38, 772.88 and 477.90 is: 715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 772.88 = 477.90 : x
  2. Step 2: Convert to fraction form
    516.38/772.88 = 477.90/x
  3. Step 3: Cross multiply
    516.38x = 772.88 × 477.90
  4. Step 4: Simplify right side
    516.38x = 369,356.96
  5. Step 5: Solve for x
    x = 369,356.96/516.38
  6. Step 6: Final answer
    x = 715.29

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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.