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Finding the Fourth Proportional to 512.42, 768.64 and 269

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Solution

The fourth proportional to 512.42, 768.64 and 269 is: 403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 768.64 = 269 : x
  2. Step 2: Convert to fraction form
    512.42/768.64 = 269/x
  3. Step 3: Cross multiply
    512.42x = 768.64 × 269
  4. Step 4: Simplify right side
    512.42x = 206,764.16
  5. Step 5: Solve for x
    x = 206,764.16/512.42
  6. Step 6: Final answer
    x = 403.51

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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.