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Finding the Fourth Proportional to 411.43, 616.17 and 237.74

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Solution

The fourth proportional to 411.43, 616.17 and 237.74 is: 356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.43 : 616.17 = 237.74 : x
  2. Step 2: Convert to fraction form
    411.43/616.17 = 237.74/x
  3. Step 3: Cross multiply
    411.43x = 616.17 × 237.74
  4. Step 4: Simplify right side
    411.43x = 146,488.26
  5. Step 5: Solve for x
    x = 146,488.26/411.43
  6. Step 6: Final answer
    x = 356.05

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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.