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Finding the Fourth Proportional to 396.82, 595.22 and 108.26

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Solution

The fourth proportional to 396.82, 595.22 and 108.26 is: 162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.82 : 595.22 = 108.26 : x
  2. Step 2: Convert to fraction form
    396.82/595.22 = 108.26/x
  3. Step 3: Cross multiply
    396.82x = 595.22 × 108.26
  4. Step 4: Simplify right side
    396.82x = 64,438.52
  5. Step 5: Solve for x
    x = 64,438.52/396.82
  6. Step 6: Final answer
    x = 162.39

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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.