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Finding the Fourth Proportional to 385.77, 578.85 and 180.30

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Solution

The fourth proportional to 385.77, 578.85 and 180.30 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.77 : 578.85 = 180.30 : x
  2. Step 2: Convert to fraction form
    385.77/578.85 = 180.30/x
  3. Step 3: Cross multiply
    385.77x = 578.85 × 180.30
  4. Step 4: Simplify right side
    385.77x = 104,366.66
  5. Step 5: Solve for x
    x = 104,366.66/385.77
  6. Step 6: Final answer
    x = 270.54

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