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Finding the Fourth Proportional to 385.17, 577.75 and 179.80

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Solution

The fourth proportional to 385.17, 577.75 and 179.80 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.17 : 577.75 = 179.80 : x
  2. Step 2: Convert to fraction form
    385.17/577.75 = 179.80/x
  3. Step 3: Cross multiply
    385.17x = 577.75 × 179.80
  4. Step 4: Simplify right side
    385.17x = 103,879.45
  5. Step 5: Solve for x
    x = 103,879.45/385.17
  6. Step 6: Final answer
    x = 269.70

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