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Finding the Fourth Proportional to 396.33, 594.72 and 259.44

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Solution

The fourth proportional to 396.33, 594.72 and 259.44 is: 389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.33 : 594.72 = 259.44 : x
  2. Step 2: Convert to fraction form
    396.33/594.72 = 259.44/x
  3. Step 3: Cross multiply
    396.33x = 594.72 × 259.44
  4. Step 4: Simplify right side
    396.33x = 154,294.16
  5. Step 5: Solve for x
    x = 154,294.16/396.33
  6. Step 6: Final answer
    x = 389.31

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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.