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Finding the Fourth Proportional to 411.70, 617.42 and 137.74

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Solution

The fourth proportional to 411.70, 617.42 and 137.74 is: 206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.70 : 617.42 = 137.74 : x
  2. Step 2: Convert to fraction form
    411.70/617.42 = 137.74/x
  3. Step 3: Cross multiply
    411.70x = 617.42 × 137.74
  4. Step 4: Simplify right side
    411.70x = 85,043.43
  5. Step 5: Solve for x
    x = 85,043.43/411.70
  6. Step 6: Final answer
    x = 206.57

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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.