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Finding the Fourth Proportional to 385.72, 578.64 and 142.30

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Solution

The fourth proportional to 385.72, 578.64 and 142.30 is: 213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.72 : 578.64 = 142.30 : x
  2. Step 2: Convert to fraction form
    385.72/578.64 = 142.30/x
  3. Step 3: Cross multiply
    385.72x = 578.64 × 142.30
  4. Step 4: Simplify right side
    385.72x = 82,340.47
  5. Step 5: Solve for x
    x = 82,340.47/385.72
  6. Step 6: Final answer
    x = 213.47

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