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Finding the Fourth Proportional to 414.58, 572.19 and 240.02

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Solution

The fourth proportional to 414.58, 572.19 and 240.02 is: 331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.58 : 572.19 = 240.02 : x
  2. Step 2: Convert to fraction form
    414.58/572.19 = 240.02/x
  3. Step 3: Cross multiply
    414.58x = 572.19 × 240.02
  4. Step 4: Simplify right side
    414.58x = 137,337.04
  5. Step 5: Solve for x
    x = 137,337.04/414.58
  6. Step 6: Final answer
    x = 331.27

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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.