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Finding the Fourth Proportional to 548.88, 823.68 and 260.16

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Solution

The fourth proportional to 548.88, 823.68 and 260.16 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 823.68 = 260.16 : x
  2. Step 2: Convert to fraction form
    548.88/823.68 = 260.16/x
  3. Step 3: Cross multiply
    548.88x = 823.68 × 260.16
  4. Step 4: Simplify right side
    548.88x = 214,288.59
  5. Step 5: Solve for x
    x = 214,288.59/548.88
  6. Step 6: Final answer
    x = 390.41

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