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Finding the Fourth Proportional to 411.68, 617.41 and 137.78

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Solution

The fourth proportional to 411.68, 617.41 and 137.78 is: 206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.68 : 617.41 = 137.78 : x
  2. Step 2: Convert to fraction form
    411.68/617.41 = 137.78/x
  3. Step 3: Cross multiply
    411.68x = 617.41 × 137.78
  4. Step 4: Simplify right side
    411.68x = 85,066.75
  5. Step 5: Solve for x
    x = 85,066.75/411.68
  6. Step 6: Final answer
    x = 206.63

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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.