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Finding the Fourth Proportional to 624.78, 932.04 and 580.59

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Solution

The fourth proportional to 624.78, 932.04 and 580.59 is: 866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.78 : 932.04 = 580.59 : x
  2. Step 2: Convert to fraction form
    624.78/932.04 = 580.59/x
  3. Step 3: Cross multiply
    624.78x = 932.04 × 580.59
  4. Step 4: Simplify right side
    624.78x = 541,133.10
  5. Step 5: Solve for x
    x = 541,133.10/624.78
  6. Step 6: Final answer
    x = 866.12

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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.