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Finding the Fourth Proportional to 512.06, 767.94 and 268.46

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Solution

The fourth proportional to 512.06, 767.94 and 268.46 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 767.94 = 268.46 : x
  2. Step 2: Convert to fraction form
    512.06/767.94 = 268.46/x
  3. Step 3: Cross multiply
    512.06x = 767.94 × 268.46
  4. Step 4: Simplify right side
    512.06x = 206,161.17
  5. Step 5: Solve for x
    x = 206,161.17/512.06
  6. Step 6: Final answer
    x = 402.61

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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.