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Finding the Fourth Proportional to 363.62, 545.12 and 294.97

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Solution

The fourth proportional to 363.62, 545.12 and 294.97 is: 442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.62 : 545.12 = 294.97 : x
  2. Step 2: Convert to fraction form
    363.62/545.12 = 294.97/x
  3. Step 3: Cross multiply
    363.62x = 545.12 × 294.97
  4. Step 4: Simplify right side
    363.62x = 160,794.05
  5. Step 5: Solve for x
    x = 160,794.05/363.62
  6. Step 6: Final answer
    x = 442.21

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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.