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Finding the Fourth Proportional to 396.32, 594.66 and 204.08

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Solution

The fourth proportional to 396.32, 594.66 and 204.08 is: 306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.32 : 594.66 = 204.08 : x
  2. Step 2: Convert to fraction form
    396.32/594.66 = 204.08/x
  3. Step 3: Cross multiply
    396.32x = 594.66 × 204.08
  4. Step 4: Simplify right side
    396.32x = 121,358.21
  5. Step 5: Solve for x
    x = 121,358.21/396.32
  6. Step 6: Final answer
    x = 306.21

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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.