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Finding the Fourth Proportional to 396.23, 546.80 and 225.90

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Solution

The fourth proportional to 396.23, 546.80 and 225.90 is: 311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.23 : 546.80 = 225.90 : x
  2. Step 2: Convert to fraction form
    396.23/546.80 = 225.90/x
  3. Step 3: Cross multiply
    396.23x = 546.80 × 225.90
  4. Step 4: Simplify right side
    396.23x = 123,520.99
  5. Step 5: Solve for x
    x = 123,520.99/396.23
  6. Step 6: Final answer
    x = 311.74

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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.