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Finding the Fourth Proportional to 512.30, 767.94 and 251.92

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Solution

The fourth proportional to 512.30, 767.94 and 251.92 is: 377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.30 : 767.94 = 251.92 : x
  2. Step 2: Convert to fraction form
    512.30/767.94 = 251.92/x
  3. Step 3: Cross multiply
    512.30x = 767.94 × 251.92
  4. Step 4: Simplify right side
    512.30x = 193,459.44
  5. Step 5: Solve for x
    x = 193,459.44/512.30
  6. Step 6: Final answer
    x = 377.63

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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.