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Finding the Fourth Proportional to 410.96, 616.44 and 137.05

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Solution

The fourth proportional to 410.96, 616.44 and 137.05 is: 205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.96 : 616.44 = 137.05 : x
  2. Step 2: Convert to fraction form
    410.96/616.44 = 137.05/x
  3. Step 3: Cross multiply
    410.96x = 616.44 × 137.05
  4. Step 4: Simplify right side
    410.96x = 84,480.62
  5. Step 5: Solve for x
    x = 84,480.62/410.96
  6. Step 6: Final answer
    x = 205.57

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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.