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Finding the Fourth Proportional to 397.82, 548.52 and 342.47

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Solution

The fourth proportional to 397.82, 548.52 and 342.47 is: 472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 548.52 = 342.47 : x
  2. Step 2: Convert to fraction form
    397.82/548.52 = 342.47/x
  3. Step 3: Cross multiply
    397.82x = 548.52 × 342.47
  4. Step 4: Simplify right side
    397.82x = 187,847.19
  5. Step 5: Solve for x
    x = 187,847.19/397.82
  6. Step 6: Final answer
    x = 472.19

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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.