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Finding the Fourth Proportional to 414.85, 572.42 and 249.15

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Solution

The fourth proportional to 414.85, 572.42 and 249.15 is: 343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.85 : 572.42 = 249.15 : x
  2. Step 2: Convert to fraction form
    414.85/572.42 = 249.15/x
  3. Step 3: Cross multiply
    414.85x = 572.42 × 249.15
  4. Step 4: Simplify right side
    414.85x = 142,618.20
  5. Step 5: Solve for x
    x = 142,618.20/414.85
  6. Step 6: Final answer
    x = 343.79

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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.