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Finding the Fourth Proportional to 279.78, 417.61 and 259.75

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Solution

The fourth proportional to 279.78, 417.61 and 259.75 is: 387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.78 : 417.61 = 259.75 : x
  2. Step 2: Convert to fraction form
    279.78/417.61 = 259.75/x
  3. Step 3: Cross multiply
    279.78x = 417.61 × 259.75
  4. Step 4: Simplify right side
    279.78x = 108,474.20
  5. Step 5: Solve for x
    x = 108,474.20/279.78
  6. Step 6: Final answer
    x = 387.71

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