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Finding the Fourth Proportional to 616.92, 925.29 and 232.17

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Solution

The fourth proportional to 616.92, 925.29 and 232.17 is: 348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 925.29 = 232.17 : x
  2. Step 2: Convert to fraction form
    616.92/925.29 = 232.17/x
  3. Step 3: Cross multiply
    616.92x = 925.29 × 232.17
  4. Step 4: Simplify right side
    616.92x = 214,824.58
  5. Step 5: Solve for x
    x = 214,824.58/616.92
  6. Step 6: Final answer
    x = 348.22

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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.