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Finding the Fourth Proportional to 616.89, 925.71 and 232.14

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Solution

The fourth proportional to 616.89, 925.71 and 232.14 is: 348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.89 : 925.71 = 232.14 : x
  2. Step 2: Convert to fraction form
    616.89/925.71 = 232.14/x
  3. Step 3: Cross multiply
    616.89x = 925.71 × 232.14
  4. Step 4: Simplify right side
    616.89x = 214,894.32
  5. Step 5: Solve for x
    x = 214,894.32/616.89
  6. Step 6: Final answer
    x = 348.35

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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.