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Finding the Fourth Proportional to 338.31, 506.86 and 286.88

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Solution

The fourth proportional to 338.31, 506.86 and 286.88 is: 429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.31 : 506.86 = 286.88 : x
  2. Step 2: Convert to fraction form
    338.31/506.86 = 286.88/x
  3. Step 3: Cross multiply
    338.31x = 506.86 × 286.88
  4. Step 4: Simplify right side
    338.31x = 145,404.75
  5. Step 5: Solve for x
    x = 145,404.75/338.31
  6. Step 6: Final answer
    x = 429.80

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