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Finding the Fourth Proportional to 396.64, 593.92 and 203.84

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Solution

The fourth proportional to 396.64, 593.92 and 203.84 is: 305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.64 : 593.92 = 203.84 : x
  2. Step 2: Convert to fraction form
    396.64/593.92 = 203.84/x
  3. Step 3: Cross multiply
    396.64x = 593.92 × 203.84
  4. Step 4: Simplify right side
    396.64x = 121,064.65
  5. Step 5: Solve for x
    x = 121,064.65/396.64
  6. Step 6: Final answer
    x = 305.23

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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.