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Finding the Fourth Proportional to 385.27, 578.03 and 179.84

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Solution

The fourth proportional to 385.27, 578.03 and 179.84 is: 269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.27 : 578.03 = 179.84 : x
  2. Step 2: Convert to fraction form
    385.27/578.03 = 179.84/x
  3. Step 3: Cross multiply
    385.27x = 578.03 × 179.84
  4. Step 4: Simplify right side
    385.27x = 103,952.92
  5. Step 5: Solve for x
    x = 103,952.92/385.27
  6. Step 6: Final answer
    x = 269.82

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