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Finding the Fourth Proportional to 397.28, 548.46 and 247.95

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Solution

The fourth proportional to 397.28, 548.46 and 247.95 is: 342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.28 : 548.46 = 247.95 : x
  2. Step 2: Convert to fraction form
    397.28/548.46 = 247.95/x
  3. Step 3: Cross multiply
    397.28x = 548.46 × 247.95
  4. Step 4: Simplify right side
    397.28x = 135,990.66
  5. Step 5: Solve for x
    x = 135,990.66/397.28
  6. Step 6: Final answer
    x = 342.30

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Why These Related Problems?

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