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Finding the Fourth Proportional to 396.90, 594.92 and 191.34

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Solution

The fourth proportional to 396.90, 594.92 and 191.34 is: 286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.90 : 594.92 = 191.34 : x
  2. Step 2: Convert to fraction form
    396.90/594.92 = 191.34/x
  3. Step 3: Cross multiply
    396.90x = 594.92 × 191.34
  4. Step 4: Simplify right side
    396.90x = 113,832.47
  5. Step 5: Solve for x
    x = 113,832.47/396.90
  6. Step 6: Final answer
    x = 286.80

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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.