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Finding the Fourth Proportional to 396.88, 548.25 and 342.22

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Solution

The fourth proportional to 396.88, 548.25 and 342.22 is: 472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.88 : 548.25 = 342.22 : x
  2. Step 2: Convert to fraction form
    396.88/548.25 = 342.22/x
  3. Step 3: Cross multiply
    396.88x = 548.25 × 342.22
  4. Step 4: Simplify right side
    396.88x = 187,622.12
  5. Step 5: Solve for x
    x = 187,622.12/396.88
  6. Step 6: Final answer
    x = 472.74

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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.