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Finding the Fourth Proportional to 342.19, 512.49 and 220.09

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Solution

The fourth proportional to 342.19, 512.49 and 220.09 is: 329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.19 : 512.49 = 220.09 : x
  2. Step 2: Convert to fraction form
    342.19/512.49 = 220.09/x
  3. Step 3: Cross multiply
    342.19x = 512.49 × 220.09
  4. Step 4: Simplify right side
    342.19x = 112,793.92
  5. Step 5: Solve for x
    x = 112,793.92/342.19
  6. Step 6: Final answer
    x = 329.62

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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.