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Finding the Fourth Proportional to 548.16, 822.24 and 258.72

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Solution

The fourth proportional to 548.16, 822.24 and 258.72 is: 388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.16 : 822.24 = 258.72 : x
  2. Step 2: Convert to fraction form
    548.16/822.24 = 258.72/x
  3. Step 3: Cross multiply
    548.16x = 822.24 × 258.72
  4. Step 4: Simplify right side
    548.16x = 212,729.93
  5. Step 5: Solve for x
    x = 212,729.93/548.16
  6. Step 6: Final answer
    x = 388.08

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