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Finding the Fourth Proportional to 410.97, 616.49 and 237.83

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Solution

The fourth proportional to 410.97, 616.49 and 237.83 is: 356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.97 : 616.49 = 237.83 : x
  2. Step 2: Convert to fraction form
    410.97/616.49 = 237.83/x
  3. Step 3: Cross multiply
    410.97x = 616.49 × 237.83
  4. Step 4: Simplify right side
    410.97x = 146,616.73
  5. Step 5: Solve for x
    x = 146,616.73/410.97
  6. Step 6: Final answer
    x = 356.76

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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.