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Finding the Fourth Proportional to 338.04, 506.42 and 209.56

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Solution

The fourth proportional to 338.04, 506.42 and 209.56 is: 313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 506.42 = 209.56 : x
  2. Step 2: Convert to fraction form
    338.04/506.42 = 209.56/x
  3. Step 3: Cross multiply
    338.04x = 506.42 × 209.56
  4. Step 4: Simplify right side
    338.04x = 106,125.38
  5. Step 5: Solve for x
    x = 106,125.38/338.04
  6. Step 6: Final answer
    x = 313.94

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