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Finding the Fourth Proportional to 513.52, 768.39 and 308.23

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Solution

The fourth proportional to 513.52, 768.39 and 308.23 is: 461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.52 : 768.39 = 308.23 : x
  2. Step 2: Convert to fraction form
    513.52/768.39 = 308.23/x
  3. Step 3: Cross multiply
    513.52x = 768.39 × 308.23
  4. Step 4: Simplify right side
    513.52x = 236,840.85
  5. Step 5: Solve for x
    x = 236,840.85/513.52
  6. Step 6: Final answer
    x = 461.21

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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.