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Finding the Fourth Proportional to 512.66, 768.08 and 238.28

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Solution

The fourth proportional to 512.66, 768.08 and 238.28 is: 356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 768.08 = 238.28 : x
  2. Step 2: Convert to fraction form
    512.66/768.08 = 238.28/x
  3. Step 3: Cross multiply
    512.66x = 768.08 × 238.28
  4. Step 4: Simplify right side
    512.66x = 183,014.86
  5. Step 5: Solve for x
    x = 183,014.86/512.66
  6. Step 6: Final answer
    x = 356.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.