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Finding the Fourth Proportional to 396.88, 547.70 and 222.24

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Solution

The fourth proportional to 396.88, 547.70 and 222.24 is: 306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.88 : 547.70 = 222.24 : x
  2. Step 2: Convert to fraction form
    396.88/547.70 = 222.24/x
  3. Step 3: Cross multiply
    396.88x = 547.70 × 222.24
  4. Step 4: Simplify right side
    396.88x = 121,720.85
  5. Step 5: Solve for x
    x = 121,720.85/396.88
  6. Step 6: Final answer
    x = 306.69

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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.