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Finding the Fourth Proportional to 396.90, 595.08 and 191.16

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Solution

The fourth proportional to 396.90, 595.08 and 191.16 is: 286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.90 : 595.08 = 191.16 : x
  2. Step 2: Convert to fraction form
    396.90/595.08 = 191.16/x
  3. Step 3: Cross multiply
    396.90x = 595.08 × 191.16
  4. Step 4: Simplify right side
    396.90x = 113,755.49
  5. Step 5: Solve for x
    x = 113,755.49/396.90
  6. Step 6: Final answer
    x = 286.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.