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Finding the Fourth Proportional to 396.63, 594.41 and 179.73

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Solution

The fourth proportional to 396.63, 594.41 and 179.73 is: 269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 594.41 = 179.73 : x
  2. Step 2: Convert to fraction form
    396.63/594.41 = 179.73/x
  3. Step 3: Cross multiply
    396.63x = 594.41 × 179.73
  4. Step 4: Simplify right side
    396.63x = 106,832.41
  5. Step 5: Solve for x
    x = 106,832.41/396.63
  6. Step 6: Final answer
    x = 269.35

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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.