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Finding the Fourth Proportional to 512.14, 768.04 and 219.64

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Solution

The fourth proportional to 512.14, 768.04 and 219.64 is: 329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.14 : 768.04 = 219.64 : x
  2. Step 2: Convert to fraction form
    512.14/768.04 = 219.64/x
  3. Step 3: Cross multiply
    512.14x = 768.04 × 219.64
  4. Step 4: Simplify right side
    512.14x = 168,692.31
  5. Step 5: Solve for x
    x = 168,692.31/512.14
  6. Step 6: Final answer
    x = 329.39

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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.