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Finding the Fourth Proportional to 545.70, 819.45 and 363.90

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Solution

The fourth proportional to 545.70, 819.45 and 363.90 is: 546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.70 : 819.45 = 363.90 : x
  2. Step 2: Convert to fraction form
    545.70/819.45 = 363.90/x
  3. Step 3: Cross multiply
    545.70x = 819.45 × 363.90
  4. Step 4: Simplify right side
    545.70x = 298,197.86
  5. Step 5: Solve for x
    x = 298,197.86/545.70
  6. Step 6: Final answer
    x = 546.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.