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Finding the Fourth Proportional to 385.61, 578.64 and 180.12

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Solution

The fourth proportional to 385.61, 578.64 and 180.12 is: 270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.61 : 578.64 = 180.12 : x
  2. Step 2: Convert to fraction form
    385.61/578.64 = 180.12/x
  3. Step 3: Cross multiply
    385.61x = 578.64 × 180.12
  4. Step 4: Simplify right side
    385.61x = 104,227.48
  5. Step 5: Solve for x
    x = 104,227.48/385.61
  6. Step 6: Final answer
    x = 270.29

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