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Finding the Fourth Proportional to 512.64, 768.48 and 204.34

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Solution

The fourth proportional to 512.64, 768.48 and 204.34 is: 306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 768.48 = 204.34 : x
  2. Step 2: Convert to fraction form
    512.64/768.48 = 204.34/x
  3. Step 3: Cross multiply
    512.64x = 768.48 × 204.34
  4. Step 4: Simplify right side
    512.64x = 157,031.20
  5. Step 5: Solve for x
    x = 157,031.20/512.64
  6. Step 6: Final answer
    x = 306.32

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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.