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Finding the Fourth Proportional to 397.20, 548.61 and 323.80

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Solution

The fourth proportional to 397.20, 548.61 and 323.80 is: 447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.20 : 548.61 = 323.80 : x
  2. Step 2: Convert to fraction form
    397.20/548.61 = 323.80/x
  3. Step 3: Cross multiply
    397.20x = 548.61 × 323.80
  4. Step 4: Simplify right side
    397.20x = 177,639.92
  5. Step 5: Solve for x
    x = 177,639.92/397.20
  6. Step 6: Final answer
    x = 447.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.