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Finding the Fourth Proportional to 411.18, 616.23 and 205.80

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Solution

The fourth proportional to 411.18, 616.23 and 205.80 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.18 : 616.23 = 205.80 : x
  2. Step 2: Convert to fraction form
    411.18/616.23 = 205.80/x
  3. Step 3: Cross multiply
    411.18x = 616.23 × 205.80
  4. Step 4: Simplify right side
    411.18x = 126,820.13
  5. Step 5: Solve for x
    x = 126,820.13/411.18
  6. Step 6: Final answer
    x = 308.43

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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.