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Finding the Fourth Proportional to 300.92, 451.38 and 219.38

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Solution

The fourth proportional to 300.92, 451.38 and 219.38 is: 329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 451.38 = 219.38 : x
  2. Step 2: Convert to fraction form
    300.92/451.38 = 219.38/x
  3. Step 3: Cross multiply
    300.92x = 451.38 × 219.38
  4. Step 4: Simplify right side
    300.92x = 99,023.74
  5. Step 5: Solve for x
    x = 99,023.74/300.92
  6. Step 6: Final answer
    x = 329.07

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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.