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Finding the Fourth Proportional to 624.11, 932.71 and 588.10

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Solution

The fourth proportional to 624.11, 932.71 and 588.10 is: 878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.11 : 932.71 = 588.10 : x
  2. Step 2: Convert to fraction form
    624.11/932.71 = 588.10/x
  3. Step 3: Cross multiply
    624.11x = 932.71 × 588.10
  4. Step 4: Simplify right side
    624.11x = 548,523.68
  5. Step 5: Solve for x
    x = 548,523.68/624.11
  6. Step 6: Final answer
    x = 878.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.