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Finding the Fourth Proportional to 411.27, 617.02 and 194.55

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Solution

The fourth proportional to 411.27, 617.02 and 194.55 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.27 : 617.02 = 194.55 : x
  2. Step 2: Convert to fraction form
    411.27/617.02 = 194.55/x
  3. Step 3: Cross multiply
    411.27x = 617.02 × 194.55
  4. Step 4: Simplify right side
    411.27x = 120,037.67
  5. Step 5: Solve for x
    x = 120,037.67/411.27
  6. Step 6: Final answer
    x = 291.87

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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.