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Finding the Fourth Proportional to 396.36, 593.76 and 200.88

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Solution

The fourth proportional to 396.36, 593.76 and 200.88 is: 300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.36 : 593.76 = 200.88 : x
  2. Step 2: Convert to fraction form
    396.36/593.76 = 200.88/x
  3. Step 3: Cross multiply
    396.36x = 593.76 × 200.88
  4. Step 4: Simplify right side
    396.36x = 119,275.26
  5. Step 5: Solve for x
    x = 119,275.26/396.36
  6. Step 6: Final answer
    x = 300.93

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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.