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Finding the Fourth Proportional to 363.88, 545.08 and 219.28

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Solution

The fourth proportional to 363.88, 545.08 and 219.28 is: 328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.88 : 545.08 = 219.28 : x
  2. Step 2: Convert to fraction form
    363.88/545.08 = 219.28/x
  3. Step 3: Cross multiply
    363.88x = 545.08 × 219.28
  4. Step 4: Simplify right side
    363.88x = 119,525.14
  5. Step 5: Solve for x
    x = 119,525.14/363.88
  6. Step 6: Final answer
    x = 328.47

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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.