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Finding the Fourth Proportional to 411.63, 616.90 and 194.76

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Solution

The fourth proportional to 411.63, 616.90 and 194.76 is: 291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.63 : 616.90 = 194.76 : x
  2. Step 2: Convert to fraction form
    411.63/616.90 = 194.76/x
  3. Step 3: Cross multiply
    411.63x = 616.90 × 194.76
  4. Step 4: Simplify right side
    411.63x = 120,147.44
  5. Step 5: Solve for x
    x = 120,147.44/411.63
  6. Step 6: Final answer
    x = 291.88

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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.