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Finding the Fourth Proportional to 396.64, 594.48 and 165.44

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Solution

The fourth proportional to 396.64, 594.48 and 165.44 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.64 : 594.48 = 165.44 : x
  2. Step 2: Convert to fraction form
    396.64/594.48 = 165.44/x
  3. Step 3: Cross multiply
    396.64x = 594.48 × 165.44
  4. Step 4: Simplify right side
    396.64x = 98,350.77
  5. Step 5: Solve for x
    x = 98,350.77/396.64
  6. Step 6: Final answer
    x = 247.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.