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Finding the Fourth Proportional to 396.90, 548.27 and 297.88

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Solution

The fourth proportional to 396.90, 548.27 and 297.88 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.90 : 548.27 = 297.88 : x
  2. Step 2: Convert to fraction form
    396.90/548.27 = 297.88/x
  3. Step 3: Cross multiply
    396.90x = 548.27 × 297.88
  4. Step 4: Simplify right side
    396.90x = 163,316.92
  5. Step 5: Solve for x
    x = 163,316.92/396.90
  6. Step 6: Final answer
    x = 411.48

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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.