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Finding the Fourth Proportional to 512.04, 768.90 and 329.78

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Solution

The fourth proportional to 512.04, 768.90 and 329.78 is: 495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.04 : 768.90 = 329.78 : x
  2. Step 2: Convert to fraction form
    512.04/768.90 = 329.78/x
  3. Step 3: Cross multiply
    512.04x = 768.90 × 329.78
  4. Step 4: Simplify right side
    512.04x = 253,567.84
  5. Step 5: Solve for x
    x = 253,567.84/512.04
  6. Step 6: Final answer
    x = 495.21

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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.