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Finding the Fourth Proportional to 414.97, 572.58 and 249.24

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Solution

The fourth proportional to 414.97, 572.58 and 249.24 is: 343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.97 : 572.58 = 249.24 : x
  2. Step 2: Convert to fraction form
    414.97/572.58 = 249.24/x
  3. Step 3: Cross multiply
    414.97x = 572.58 × 249.24
  4. Step 4: Simplify right side
    414.97x = 142,709.84
  5. Step 5: Solve for x
    x = 142,709.84/414.97
  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.