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Finding the Fourth Proportional to 410.97, 616.46 and 137.06

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Solution

The fourth proportional to 410.97, 616.46 and 137.06 is: 205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.97 : 616.46 = 137.06 : x
  2. Step 2: Convert to fraction form
    410.97/616.46 = 137.06/x
  3. Step 3: Cross multiply
    410.97x = 616.46 × 137.06
  4. Step 4: Simplify right side
    410.97x = 84,493.89
  5. Step 5: Solve for x
    x = 84,493.89/410.97
  6. Step 6: Final answer
    x = 205.59

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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.