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Finding the Fourth Proportional to 411.30, 616.71 and 137.24

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Solution

The fourth proportional to 411.30, 616.71 and 137.24 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.30 : 616.71 = 137.24 : x
  2. Step 2: Convert to fraction form
    411.30/616.71 = 137.24/x
  3. Step 3: Cross multiply
    411.30x = 616.71 × 137.24
  4. Step 4: Simplify right side
    411.30x = 84,637.02
  5. Step 5: Solve for x
    x = 84,637.02/411.30
  6. Step 6: Final answer
    x = 205.78

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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.