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Finding the Fourth Proportional to 385.92, 578.82 and 169.44

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Solution

The fourth proportional to 385.92, 578.82 and 169.44 is: 254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.92 : 578.82 = 169.44 : x
  2. Step 2: Convert to fraction form
    385.92/578.82 = 169.44/x
  3. Step 3: Cross multiply
    385.92x = 578.82 × 169.44
  4. Step 4: Simplify right side
    385.92x = 98,075.26
  5. Step 5: Solve for x
    x = 98,075.26/385.92
  6. Step 6: Final answer
    x = 254.13

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