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Finding the Fourth Proportional to 396.41, 546.53 and 271.86

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Solution

The fourth proportional to 396.41, 546.53 and 271.86 is: 374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.41 : 546.53 = 271.86 : x
  2. Step 2: Convert to fraction form
    396.41/546.53 = 271.86/x
  3. Step 3: Cross multiply
    396.41x = 546.53 × 271.86
  4. Step 4: Simplify right side
    396.41x = 148,577.77
  5. Step 5: Solve for x
    x = 148,577.77/396.41
  6. Step 6: Final answer
    x = 374.81

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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.