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Finding the Fourth Proportional to 624.52, 936.12 and 442

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Solution

The fourth proportional to 624.52, 936.12 and 442 is: 662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.52 : 936.12 = 442 : x
  2. Step 2: Convert to fraction form
    624.52/936.12 = 442/x
  3. Step 3: Cross multiply
    624.52x = 936.12 × 442
  4. Step 4: Simplify right side
    624.52x = 413,765.04
  5. Step 5: Solve for x
    x = 413,765.04/624.52
  6. Step 6: Final answer
    x = 662.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.