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Finding the Fourth Proportional to 396.62, 594.94 and 140.12

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Solution

The fourth proportional to 396.62, 594.94 and 140.12 is: 210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.62 : 594.94 = 140.12 : x
  2. Step 2: Convert to fraction form
    396.62/594.94 = 140.12/x
  3. Step 3: Cross multiply
    396.62x = 594.94 × 140.12
  4. Step 4: Simplify right side
    396.62x = 83,362.99
  5. Step 5: Solve for x
    x = 83,362.99/396.62
  6. Step 6: Final answer
    x = 210.18

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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.