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Finding the Fourth Proportional to 547.59, 821.14 and 200.83

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Solution

The fourth proportional to 547.59, 821.14 and 200.83 is: 301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.59 : 821.14 = 200.83 : x
  2. Step 2: Convert to fraction form
    547.59/821.14 = 200.83/x
  3. Step 3: Cross multiply
    547.59x = 821.14 × 200.83
  4. Step 4: Simplify right side
    547.59x = 164,908.53
  5. Step 5: Solve for x
    x = 164,908.53/547.59
  6. Step 6: Final answer
    x = 301.16

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