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Finding the Fourth Proportional to 414.70, 572.28 and 249.13

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Solution

The fourth proportional to 414.70, 572.28 and 249.13 is: 343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.70 : 572.28 = 249.13 : x
  2. Step 2: Convert to fraction form
    414.70/572.28 = 249.13/x
  3. Step 3: Cross multiply
    414.70x = 572.28 × 249.13
  4. Step 4: Simplify right side
    414.70x = 142,572.12
  5. Step 5: Solve for x
    x = 142,572.12/414.70
  6. Step 6: Final answer
    x = 343.80

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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.