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Finding the Fourth Proportional to 512.90, 768.29 and 381.38

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Solution

The fourth proportional to 512.90, 768.29 and 381.38 is: 571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.90 : 768.29 = 381.38 : x
  2. Step 2: Convert to fraction form
    512.90/768.29 = 381.38/x
  3. Step 3: Cross multiply
    512.90x = 768.29 × 381.38
  4. Step 4: Simplify right side
    512.90x = 293,004.69
  5. Step 5: Solve for x
    x = 293,004.69/512.90
  6. Step 6: Final answer
    x = 571.27

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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.