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Finding the Fourth Proportional to 396.60, 594.96 and 180.19

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Solution

The fourth proportional to 396.60, 594.96 and 180.19 is: 270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.60 : 594.96 = 180.19 : x
  2. Step 2: Convert to fraction form
    396.60/594.96 = 180.19/x
  3. Step 3: Cross multiply
    396.60x = 594.96 × 180.19
  4. Step 4: Simplify right side
    396.60x = 107,205.84
  5. Step 5: Solve for x
    x = 107,205.84/396.60
  6. Step 6: Final answer
    x = 270.31

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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.