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Finding the Fourth Proportional to 396.13, 594.19 and 107.57

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Solution

The fourth proportional to 396.13, 594.19 and 107.57 is: 161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.13 : 594.19 = 107.57 : x
  2. Step 2: Convert to fraction form
    396.13/594.19 = 107.57/x
  3. Step 3: Cross multiply
    396.13x = 594.19 × 107.57
  4. Step 4: Simplify right side
    396.13x = 63,914.05
  5. Step 5: Solve for x
    x = 63,914.05/396.13
  6. Step 6: Final answer
    x = 161.35

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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.