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Finding the Fourth Proportional to 548.64, 821.63 and 288.86

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Solution

The fourth proportional to 548.64, 821.63 and 288.86 is: 432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.64 : 821.63 = 288.86 : x
  2. Step 2: Convert to fraction form
    548.64/821.63 = 288.86/x
  3. Step 3: Cross multiply
    548.64x = 821.63 × 288.86
  4. Step 4: Simplify right side
    548.64x = 237,336.04
  5. Step 5: Solve for x
    x = 237,336.04/548.64
  6. Step 6: Final answer
    x = 432.59

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