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Finding the Fourth Proportional to 415.20, 572.80 and 240.48

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Solution

The fourth proportional to 415.20, 572.80 and 240.48 is: 331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 572.80 = 240.48 : x
  2. Step 2: Convert to fraction form
    415.20/572.80 = 240.48/x
  3. Step 3: Cross multiply
    415.20x = 572.80 × 240.48
  4. Step 4: Simplify right side
    415.20x = 137,746.94
  5. Step 5: Solve for x
    x = 137,746.94/415.20
  6. Step 6: Final answer
    x = 331.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.