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Finding the Fourth Proportional to 414.82, 572.57 and 249.14

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Solution

The fourth proportional to 414.82, 572.57 and 249.14 is: 343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.82 : 572.57 = 249.14 : x
  2. Step 2: Convert to fraction form
    414.82/572.57 = 249.14/x
  3. Step 3: Cross multiply
    414.82x = 572.57 × 249.14
  4. Step 4: Simplify right side
    414.82x = 142,650.09
  5. Step 5: Solve for x
    x = 142,650.09/414.82
  6. Step 6: Final answer
    x = 343.88

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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.