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Finding the Fourth Proportional to 411.09, 616.41 and 137.04

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Solution

The fourth proportional to 411.09, 616.41 and 137.04 is: 205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.09 : 616.41 = 137.04 : x
  2. Step 2: Convert to fraction form
    411.09/616.41 = 137.04/x
  3. Step 3: Cross multiply
    411.09x = 616.41 × 137.04
  4. Step 4: Simplify right side
    411.09x = 84,472.83
  5. Step 5: Solve for x
    x = 84,472.83/411.09
  6. Step 6: Final answer
    x = 205.48

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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.