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Finding the Fourth Proportional to 512.09, 768.13 and 307.97

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Solution

The fourth proportional to 512.09, 768.13 and 307.97 is: 461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.09 : 768.13 = 307.97 : x
  2. Step 2: Convert to fraction form
    512.09/768.13 = 307.97/x
  3. Step 3: Cross multiply
    512.09x = 768.13 × 307.97
  4. Step 4: Simplify right side
    512.09x = 236,559.27
  5. Step 5: Solve for x
    x = 236,559.27/512.09
  6. Step 6: Final answer
    x = 461.95

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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.