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Finding the Fourth Proportional to 414.59, 572.11 and 248.71

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Solution

The fourth proportional to 414.59, 572.11 and 248.71 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.59 : 572.11 = 248.71 : x
  2. Step 2: Convert to fraction form
    414.59/572.11 = 248.71/x
  3. Step 3: Cross multiply
    414.59x = 572.11 × 248.71
  4. Step 4: Simplify right side
    414.59x = 142,289.48
  5. Step 5: Solve for x
    x = 142,289.48/414.59
  6. Step 6: Final answer
    x = 343.21

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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.