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Finding the Fourth Proportional to 338.53, 506.95 and 216.42

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Solution

The fourth proportional to 338.53, 506.95 and 216.42 is: 324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.53 : 506.95 = 216.42 : x
  2. Step 2: Convert to fraction form
    338.53/506.95 = 216.42/x
  3. Step 3: Cross multiply
    338.53x = 506.95 × 216.42
  4. Step 4: Simplify right side
    338.53x = 109,713.58
  5. Step 5: Solve for x
    x = 109,713.58/338.53
  6. Step 6: Final answer
    x = 324.09

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