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Finding the Fourth Proportional to 394.10, 591.29 and 177.83

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Solution

The fourth proportional to 394.10, 591.29 and 177.83 is: 266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.10 : 591.29 = 177.83 : x
  2. Step 2: Convert to fraction form
    394.10/591.29 = 177.83/x
  3. Step 3: Cross multiply
    394.10x = 591.29 × 177.83
  4. Step 4: Simplify right side
    394.10x = 105,146.59
  5. Step 5: Solve for x
    x = 105,146.59/394.10
  6. Step 6: Final answer
    x = 266.81

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