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Finding the Fourth Proportional to 397.38, 548.06 and 342.20

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Solution

The fourth proportional to 397.38, 548.06 and 342.20 is: 471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.38 : 548.06 = 342.20 : x
  2. Step 2: Convert to fraction form
    397.38/548.06 = 342.20/x
  3. Step 3: Cross multiply
    397.38x = 548.06 × 342.20
  4. Step 4: Simplify right side
    397.38x = 187,546.13
  5. Step 5: Solve for x
    x = 187,546.13/397.38
  6. Step 6: Final answer
    x = 471.96

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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.