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Finding the Fourth Proportional to 512.81, 707.97 and 338.66

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Solution

The fourth proportional to 512.81, 707.97 and 338.66 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.81 : 707.97 = 338.66 : x
  2. Step 2: Convert to fraction form
    512.81/707.97 = 338.66/x
  3. Step 3: Cross multiply
    512.81x = 707.97 × 338.66
  4. Step 4: Simplify right side
    512.81x = 239,755.89
  5. Step 5: Solve for x
    x = 239,755.89/512.81
  6. Step 6: Final answer
    x = 467.54

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