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Finding the Fourth Proportional to 363.34, 545.07 and 218.89

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Solution

The fourth proportional to 363.34, 545.07 and 218.89 is: 328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.34 : 545.07 = 218.89 : x
  2. Step 2: Convert to fraction form
    363.34/545.07 = 218.89/x
  3. Step 3: Cross multiply
    363.34x = 545.07 × 218.89
  4. Step 4: Simplify right side
    363.34x = 119,310.37
  5. Step 5: Solve for x
    x = 119,310.37/363.34
  6. Step 6: Final answer
    x = 328.37

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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.