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Finding the Fourth Proportional to 609.92, 913.20 and 415.28

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Solution

The fourth proportional to 609.92, 913.20 and 415.28 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.92 : 913.20 = 415.28 : x
  2. Step 2: Convert to fraction form
    609.92/913.20 = 415.28/x
  3. Step 3: Cross multiply
    609.92x = 913.20 × 415.28
  4. Step 4: Simplify right side
    609.92x = 379,233.70
  5. Step 5: Solve for x
    x = 379,233.70/609.92
  6. Step 6: Final answer
    x = 621.78

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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.