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Finding the Fourth Proportional to 415.05, 572.82 and 249.18

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Solution

The fourth proportional to 415.05, 572.82 and 249.18 is: 343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.05 : 572.82 = 249.18 : x
  2. Step 2: Convert to fraction form
    415.05/572.82 = 249.18/x
  3. Step 3: Cross multiply
    415.05x = 572.82 × 249.18
  4. Step 4: Simplify right side
    415.05x = 142,735.29
  5. Step 5: Solve for x
    x = 142,735.29/415.05
  6. Step 6: Final answer
    x = 343.90

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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.