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Finding the Fourth Proportional to 414.92, 572.64 and 240.26

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Solution

The fourth proportional to 414.92, 572.64 and 240.26 is: 331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.92 : 572.64 = 240.26 : x
  2. Step 2: Convert to fraction form
    414.92/572.64 = 240.26/x
  3. Step 3: Cross multiply
    414.92x = 572.64 × 240.26
  4. Step 4: Simplify right side
    414.92x = 137,582.49
  5. Step 5: Solve for x
    x = 137,582.49/414.92
  6. Step 6: Final answer
    x = 331.59

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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.