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Finding the Fourth Proportional to 512.02, 768.21 and 238.12

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Solution

The fourth proportional to 512.02, 768.21 and 238.12 is: 357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 768.21 = 238.12 : x
  2. Step 2: Convert to fraction form
    512.02/768.21 = 238.12/x
  3. Step 3: Cross multiply
    512.02x = 768.21 × 238.12
  4. Step 4: Simplify right side
    512.02x = 182,926.17
  5. Step 5: Solve for x
    x = 182,926.17/512.02
  6. Step 6: Final answer
    x = 357.26

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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.