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Finding the Fourth Proportional to 396.87, 594.99 and 180.20

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Solution

The fourth proportional to 396.87, 594.99 and 180.20 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.87 : 594.99 = 180.20 : x
  2. Step 2: Convert to fraction form
    396.87/594.99 = 180.20/x
  3. Step 3: Cross multiply
    396.87x = 594.99 × 180.20
  4. Step 4: Simplify right side
    396.87x = 107,214.22
  5. Step 5: Solve for x
    x = 107,214.22/396.87
  6. Step 6: Final answer
    x = 270.15

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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.