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Finding the Fourth Proportional to 385.35, 577.95 and 180.02

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Solution

The fourth proportional to 385.35, 577.95 and 180.02 is: 269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.35 : 577.95 = 180.02 : x
  2. Step 2: Convert to fraction form
    385.35/577.95 = 180.02/x
  3. Step 3: Cross multiply
    385.35x = 577.95 × 180.02
  4. Step 4: Simplify right side
    385.35x = 104,039.67
  5. Step 5: Solve for x
    x = 104,039.67/385.35
  6. Step 6: Final answer
    x = 269.99

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