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Finding the Fourth Proportional to 624.48, 938.40 and 461.64

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Solution

The fourth proportional to 624.48, 938.40 and 461.64 is: 693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.48 : 938.40 = 461.64 : x
  2. Step 2: Convert to fraction form
    624.48/938.40 = 461.64/x
  3. Step 3: Cross multiply
    624.48x = 938.40 × 461.64
  4. Step 4: Simplify right side
    624.48x = 433,202.98
  5. Step 5: Solve for x
    x = 433,202.98/624.48
  6. Step 6: Final answer
    x = 693.70

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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.