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Finding the Fourth Proportional to 545.86, 819.14 and 363.39

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Solution

The fourth proportional to 545.86, 819.14 and 363.39 is: 545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.86 : 819.14 = 363.39 : x
  2. Step 2: Convert to fraction form
    545.86/819.14 = 363.39/x
  3. Step 3: Cross multiply
    545.86x = 819.14 × 363.39
  4. Step 4: Simplify right side
    545.86x = 297,663.42
  5. Step 5: Solve for x
    x = 297,663.42/545.86
  6. Step 6: Final answer
    x = 545.31

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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.