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Finding the Fourth Proportional to 512.10, 768.56 and 238.23

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Solution

The fourth proportional to 512.10, 768.56 and 238.23 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.10 : 768.56 = 238.23 : x
  2. Step 2: Convert to fraction form
    512.10/768.56 = 238.23/x
  3. Step 3: Cross multiply
    512.10x = 768.56 × 238.23
  4. Step 4: Simplify right side
    512.10x = 183,092.86
  5. Step 5: Solve for x
    x = 183,092.86/512.10
  6. Step 6: Final answer
    x = 357.53

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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.