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Finding the Fourth Proportional to 411.91, 617.71 and 137.93

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Solution

The fourth proportional to 411.91, 617.71 and 137.93 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.91 : 617.71 = 137.93 : x
  2. Step 2: Convert to fraction form
    411.91/617.71 = 137.93/x
  3. Step 3: Cross multiply
    411.91x = 617.71 × 137.93
  4. Step 4: Simplify right side
    411.91x = 85,197.31
  5. Step 5: Solve for x
    x = 85,197.31/411.91
  6. Step 6: Final answer
    x = 206.84

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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.