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Finding the Fourth Proportional to 411.14, 616.80 and 205.71

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Solution

The fourth proportional to 411.14, 616.80 and 205.71 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 616.80 = 205.71 : x
  2. Step 2: Convert to fraction form
    411.14/616.80 = 205.71/x
  3. Step 3: Cross multiply
    411.14x = 616.80 × 205.71
  4. Step 4: Simplify right side
    411.14x = 126,885.30
  5. Step 5: Solve for x
    x = 126,885.30/411.14
  6. Step 6: Final answer
    x = 308.61

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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.