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Finding the Fourth Proportional to 396.23, 546.82 and 221.54

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Solution

The fourth proportional to 396.23, 546.82 and 221.54 is: 305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.23 : 546.82 = 221.54 : x
  2. Step 2: Convert to fraction form
    396.23/546.82 = 221.54/x
  3. Step 3: Cross multiply
    396.23x = 546.82 × 221.54
  4. Step 4: Simplify right side
    396.23x = 121,139.21
  5. Step 5: Solve for x
    x = 121,139.21/396.23
  6. Step 6: Final answer
    x = 305.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.