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Finding the Fourth Proportional to 410.67, 616.00 and 191.23

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Solution

The fourth proportional to 410.67, 616.00 and 191.23 is: 286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 616.00 = 191.23 : x
  2. Step 2: Convert to fraction form
    410.67/616.00 = 191.23/x
  3. Step 3: Cross multiply
    410.67x = 616.00 × 191.23
  4. Step 4: Simplify right side
    410.67x = 117,793.64
  5. Step 5: Solve for x
    x = 117,793.64/410.67
  6. Step 6: Final answer
    x = 286.83

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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.