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Finding the Fourth Proportional to 396.27, 546.34 and 291.27

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Solution

The fourth proportional to 396.27, 546.34 and 291.27 is: 401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.27 : 546.34 = 291.27 : x
  2. Step 2: Convert to fraction form
    396.27/546.34 = 291.27/x
  3. Step 3: Cross multiply
    396.27x = 546.34 × 291.27
  4. Step 4: Simplify right side
    396.27x = 159,132.45
  5. Step 5: Solve for x
    x = 159,132.45/396.27
  6. Step 6: Final answer
    x = 401.58

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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.