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Finding the Fourth Proportional to 396.16, 594.24 and 342.24

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Solution

The fourth proportional to 396.16, 594.24 and 342.24 is: 513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 594.24 = 342.24 : x
  2. Step 2: Convert to fraction form
    396.16/594.24 = 342.24/x
  3. Step 3: Cross multiply
    396.16x = 594.24 × 342.24
  4. Step 4: Simplify right side
    396.16x = 203,372.70
  5. Step 5: Solve for x
    x = 203,372.70/396.16
  6. Step 6: Final answer
    x = 513.36

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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.