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Finding the Fourth Proportional to 414.97, 621.91 and 232.24

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Solution

The fourth proportional to 414.97, 621.91 and 232.24 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.97 : 621.91 = 232.24 : x
  2. Step 2: Convert to fraction form
    414.97/621.91 = 232.24/x
  3. Step 3: Cross multiply
    414.97x = 621.91 × 232.24
  4. Step 4: Simplify right side
    414.97x = 144,432.38
  5. Step 5: Solve for x
    x = 144,432.38/414.97
  6. Step 6: Final answer
    x = 348.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.