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Finding the Fourth Proportional to 415.05, 572.63 and 240.27

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Solution

The fourth proportional to 415.05, 572.63 and 240.27 is: 331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.05 : 572.63 = 240.27 : x
  2. Step 2: Convert to fraction form
    415.05/572.63 = 240.27/x
  3. Step 3: Cross multiply
    415.05x = 572.63 × 240.27
  4. Step 4: Simplify right side
    415.05x = 137,583.78
  5. Step 5: Solve for x
    x = 137,583.78/415.05
  6. Step 6: Final answer
    x = 331.49

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Why These Related Problems?

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