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Finding the Fourth Proportional to 512.23, 768.75 and 204.24

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Solution

The fourth proportional to 512.23, 768.75 and 204.24 is: 306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.23 : 768.75 = 204.24 : x
  2. Step 2: Convert to fraction form
    512.23/768.75 = 204.24/x
  3. Step 3: Cross multiply
    512.23x = 768.75 × 204.24
  4. Step 4: Simplify right side
    512.23x = 157,009.50
  5. Step 5: Solve for x
    x = 157,009.50/512.23
  6. Step 6: Final answer
    x = 306.52

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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.