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Finding the Fourth Proportional to 385.92, 578.79 and 142.47

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Solution

The fourth proportional to 385.92, 578.79 and 142.47 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.92 : 578.79 = 142.47 : x
  2. Step 2: Convert to fraction form
    385.92/578.79 = 142.47/x
  3. Step 3: Cross multiply
    385.92x = 578.79 × 142.47
  4. Step 4: Simplify right side
    385.92x = 82,460.21
  5. Step 5: Solve for x
    x = 82,460.21/385.92
  6. Step 6: Final answer
    x = 213.67

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