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Finding the Fourth Proportional to 512.32, 768.96 and 238.60

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Solution

The fourth proportional to 512.32, 768.96 and 238.60 is: 358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 768.96 = 238.60 : x
  2. Step 2: Convert to fraction form
    512.32/768.96 = 238.60/x
  3. Step 3: Cross multiply
    512.32x = 768.96 × 238.60
  4. Step 4: Simplify right side
    512.32x = 183,473.86
  5. Step 5: Solve for x
    x = 183,473.86/512.32
  6. Step 6: Final answer
    x = 358.12

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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.