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Finding the Fourth Proportional to 512.50, 768.75 and 204.49

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Solution

The fourth proportional to 512.50, 768.75 and 204.49 is: 306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.50 : 768.75 = 204.49 : x
  2. Step 2: Convert to fraction form
    512.50/768.75 = 204.49/x
  3. Step 3: Cross multiply
    512.50x = 768.75 × 204.49
  4. Step 4: Simplify right side
    512.50x = 157,201.69
  5. Step 5: Solve for x
    x = 157,201.69/512.50
  6. Step 6: Final answer
    x = 306.74

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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.