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Finding the Fourth Proportional to 588.64, 882.92 and 259.56

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Solution

The fourth proportional to 588.64, 882.92 and 259.56 is: 389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.64 : 882.92 = 259.56 : x
  2. Step 2: Convert to fraction form
    588.64/882.92 = 259.56/x
  3. Step 3: Cross multiply
    588.64x = 882.92 × 259.56
  4. Step 4: Simplify right side
    588.64x = 229,170.72
  5. Step 5: Solve for x
    x = 229,170.72/588.64
  6. Step 6: Final answer
    x = 389.32

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