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Finding the Fourth Proportional to 396.19, 595.19 and 343.34

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Solution

The fourth proportional to 396.19, 595.19 and 343.34 is: 515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 595.19 = 343.34 : x
  2. Step 2: Convert to fraction form
    396.19/595.19 = 343.34/x
  3. Step 3: Cross multiply
    396.19x = 595.19 × 343.34
  4. Step 4: Simplify right side
    396.19x = 204,352.65
  5. Step 5: Solve for x
    x = 204,352.65/396.19
  6. Step 6: Final answer
    x = 515.79

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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.