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Finding the Fourth Proportional to 396.90, 596.34 and 345.96

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Solution

The fourth proportional to 396.90, 596.34 and 345.96 is: 519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.90 : 596.34 = 345.96 : x
  2. Step 2: Convert to fraction form
    396.90/596.34 = 345.96/x
  3. Step 3: Cross multiply
    396.90x = 596.34 × 345.96
  4. Step 4: Simplify right side
    396.90x = 206,309.79
  5. Step 5: Solve for x
    x = 206,309.79/396.90
  6. Step 6: Final answer
    x = 519.80

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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.