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Finding the Fourth Proportional to 458.44, 687.67 and 180.78

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Solution

The fourth proportional to 458.44, 687.67 and 180.78 is: 271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.44 : 687.67 = 180.78 : x
  2. Step 2: Convert to fraction form
    458.44/687.67 = 180.78/x
  3. Step 3: Cross multiply
    458.44x = 687.67 × 180.78
  4. Step 4: Simplify right side
    458.44x = 124,316.53
  5. Step 5: Solve for x
    x = 124,316.53/458.44
  6. Step 6: Final answer
    x = 271.17

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