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Finding the Fourth Proportional to 414.77, 572.49 and 249.11

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Solution

The fourth proportional to 414.77, 572.49 and 249.11 is: 343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.77 : 572.49 = 249.11 : x
  2. Step 2: Convert to fraction form
    414.77/572.49 = 249.11/x
  3. Step 3: Cross multiply
    414.77x = 572.49 × 249.11
  4. Step 4: Simplify right side
    414.77x = 142,615.38
  5. Step 5: Solve for x
    x = 142,615.38/414.77
  6. Step 6: Final answer
    x = 343.84

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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.