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Finding the Fourth Proportional to 548.53, 822.58 and 223.78

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Solution

The fourth proportional to 548.53, 822.58 and 223.78 is: 335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.53 : 822.58 = 223.78 : x
  2. Step 2: Convert to fraction form
    548.53/822.58 = 223.78/x
  3. Step 3: Cross multiply
    548.53x = 822.58 × 223.78
  4. Step 4: Simplify right side
    548.53x = 184,076.95
  5. Step 5: Solve for x
    x = 184,076.95/548.53
  6. Step 6: Final answer
    x = 335.58

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