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Finding the Fourth Proportional to 411.12, 616.65 and 194.64

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Solution

The fourth proportional to 411.12, 616.65 and 194.64 is: 291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.12 : 616.65 = 194.64 : x
  2. Step 2: Convert to fraction form
    411.12/616.65 = 194.64/x
  3. Step 3: Cross multiply
    411.12x = 616.65 × 194.64
  4. Step 4: Simplify right side
    411.12x = 120,024.76
  5. Step 5: Solve for x
    x = 120,024.76/411.12
  6. Step 6: Final answer
    x = 291.95

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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.