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Finding the Fourth Proportional to 512.70, 768.83 and 204.45

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Solution

The fourth proportional to 512.70, 768.83 and 204.45 is: 306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.70 : 768.83 = 204.45 : x
  2. Step 2: Convert to fraction form
    512.70/768.83 = 204.45/x
  3. Step 3: Cross multiply
    512.70x = 768.83 × 204.45
  4. Step 4: Simplify right side
    512.70x = 157,186.27
  5. Step 5: Solve for x
    x = 157,186.27/512.70
  6. Step 6: Final answer
    x = 306.59

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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.