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Finding the Fourth Proportional to 642.43, 963.78 and 411.22

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Solution

The fourth proportional to 642.43, 963.78 and 411.22 is: 616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.43 : 963.78 = 411.22 : x
  2. Step 2: Convert to fraction form
    642.43/963.78 = 411.22/x
  3. Step 3: Cross multiply
    642.43x = 963.78 × 411.22
  4. Step 4: Simplify right side
    642.43x = 396,325.61
  5. Step 5: Solve for x
    x = 396,325.61/642.43
  6. Step 6: Final answer
    x = 616.92

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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.