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Finding the Fourth Proportional to 512.16, 767.64 and 219.62

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Solution

The fourth proportional to 512.16, 767.64 and 219.62 is: 329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.16 : 767.64 = 219.62 : x
  2. Step 2: Convert to fraction form
    512.16/767.64 = 219.62/x
  3. Step 3: Cross multiply
    512.16x = 767.64 × 219.62
  4. Step 4: Simplify right side
    512.16x = 168,589.10
  5. Step 5: Solve for x
    x = 168,589.10/512.16
  6. Step 6: Final answer
    x = 329.17

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