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Finding the Fourth Proportional to 411.75, 616.82 and 205.71

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Solution

The fourth proportional to 411.75, 616.82 and 205.71 is: 308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 616.82 = 205.71 : x
  2. Step 2: Convert to fraction form
    411.75/616.82 = 205.71/x
  3. Step 3: Cross multiply
    411.75x = 616.82 × 205.71
  4. Step 4: Simplify right side
    411.75x = 126,882.70
  5. Step 5: Solve for x
    x = 126,882.70/411.75
  6. Step 6: Final answer
    x = 308.15

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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.