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Finding the Fourth Proportional to 363.69, 545.94 and 209.79

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Solution

The fourth proportional to 363.69, 545.94 and 209.79 is: 314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.69 : 545.94 = 209.79 : x
  2. Step 2: Convert to fraction form
    363.69/545.94 = 209.79/x
  3. Step 3: Cross multiply
    363.69x = 545.94 × 209.79
  4. Step 4: Simplify right side
    363.69x = 114,532.75
  5. Step 5: Solve for x
    x = 114,532.75/363.69
  6. Step 6: Final answer
    x = 314.92

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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.