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Finding the Fourth Proportional to 385.62, 578.04 and 192.84

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Solution

The fourth proportional to 385.62, 578.04 and 192.84 is: 289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.62 : 578.04 = 192.84 : x
  2. Step 2: Convert to fraction form
    385.62/578.04 = 192.84/x
  3. Step 3: Cross multiply
    385.62x = 578.04 × 192.84
  4. Step 4: Simplify right side
    385.62x = 111,469.23
  5. Step 5: Solve for x
    x = 111,469.23/385.62
  6. Step 6: Final answer
    x = 289.06

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