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Finding the Fourth Proportional to 396.97, 594.61 and 204.19

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Solution

The fourth proportional to 396.97, 594.61 and 204.19 is: 305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.97 : 594.61 = 204.19 : x
  2. Step 2: Convert to fraction form
    396.97/594.61 = 204.19/x
  3. Step 3: Cross multiply
    396.97x = 594.61 × 204.19
  4. Step 4: Simplify right side
    396.97x = 121,411.42
  5. Step 5: Solve for x
    x = 121,411.42/396.97
  6. Step 6: Final answer
    x = 305.85

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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.