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Finding the Fourth Proportional to 411.10, 616.85 and 194.64

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Solution

The fourth proportional to 411.10, 616.85 and 194.64 is: 292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.10 : 616.85 = 194.64 : x
  2. Step 2: Convert to fraction form
    411.10/616.85 = 194.64/x
  3. Step 3: Cross multiply
    411.10x = 616.85 × 194.64
  4. Step 4: Simplify right side
    411.10x = 120,063.68
  5. Step 5: Solve for x
    x = 120,063.68/411.10
  6. Step 6: Final answer
    x = 292.05

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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.