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Finding the Fourth Proportional to 616.97, 925.95 and 471.17

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Solution

The fourth proportional to 616.97, 925.95 and 471.17 is: 707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.97 : 925.95 = 471.17 : x
  2. Step 2: Convert to fraction form
    616.97/925.95 = 471.17/x
  3. Step 3: Cross multiply
    616.97x = 925.95 × 471.17
  4. Step 4: Simplify right side
    616.97x = 436,279.86
  5. Step 5: Solve for x
    x = 436,279.86/616.97
  6. Step 6: Final answer
    x = 707.13

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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.