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Finding the Fourth Proportional to 512.35, 768.17 and 281.07

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Solution

The fourth proportional to 512.35, 768.17 and 281.07 is: 421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.35 : 768.17 = 281.07 : x
  2. Step 2: Convert to fraction form
    512.35/768.17 = 281.07/x
  3. Step 3: Cross multiply
    512.35x = 768.17 × 281.07
  4. Step 4: Simplify right side
    512.35x = 215,910.24
  5. Step 5: Solve for x
    x = 215,910.24/512.35
  6. Step 6: Final answer
    x = 421.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.