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Finding the Fourth Proportional to 340.56, 511.32 and 259.92

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Solution

The fourth proportional to 340.56, 511.32 and 259.92 is: 390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.56 : 511.32 = 259.92 : x
  2. Step 2: Convert to fraction form
    340.56/511.32 = 259.92/x
  3. Step 3: Cross multiply
    340.56x = 511.32 × 259.92
  4. Step 4: Simplify right side
    340.56x = 132,902.29
  5. Step 5: Solve for x
    x = 132,902.29/340.56
  6. Step 6: Final answer
    x = 390.25

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