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Finding the Fourth Proportional to 385.94, 578.85 and 142.42

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Solution

The fourth proportional to 385.94, 578.85 and 142.42 is: 213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.94 : 578.85 = 142.42 : x
  2. Step 2: Convert to fraction form
    385.94/578.85 = 142.42/x
  3. Step 3: Cross multiply
    385.94x = 578.85 × 142.42
  4. Step 4: Simplify right side
    385.94x = 82,439.82
  5. Step 5: Solve for x
    x = 82,439.82/385.94
  6. Step 6: Final answer
    x = 213.61

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