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Finding the Fourth Proportional to 363.95, 545.17 and 286.55

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Solution

The fourth proportional to 363.95, 545.17 and 286.55 is: 429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.95 : 545.17 = 286.55 : x
  2. Step 2: Convert to fraction form
    363.95/545.17 = 286.55/x
  3. Step 3: Cross multiply
    363.95x = 545.17 × 286.55
  4. Step 4: Simplify right side
    363.95x = 156,214.30
  5. Step 5: Solve for x
    x = 156,214.30/363.95
  6. Step 6: Final answer
    x = 429.22

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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.