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Finding the Fourth Proportional to 385.94, 578.62 and 142.47

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Solution

The fourth proportional to 385.94, 578.62 and 142.47 is: 213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.94 : 578.62 = 142.47 : x
  2. Step 2: Convert to fraction form
    385.94/578.62 = 142.47/x
  3. Step 3: Cross multiply
    385.94x = 578.62 × 142.47
  4. Step 4: Simplify right side
    385.94x = 82,435.99
  5. Step 5: Solve for x
    x = 82,435.99/385.94
  6. Step 6: Final answer
    x = 213.60

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