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Finding the Fourth Proportional to 396.46, 594.96 and 393.43

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Solution

The fourth proportional to 396.46, 594.96 and 393.43 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.46 : 594.96 = 393.43 : x
  2. Step 2: Convert to fraction form
    396.46/594.96 = 393.43/x
  3. Step 3: Cross multiply
    396.46x = 594.96 × 393.43
  4. Step 4: Simplify right side
    396.46x = 234,072.14
  5. Step 5: Solve for x
    x = 234,072.14/396.46
  6. Step 6: Final answer
    x = 590.41

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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.