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Finding the Fourth Proportional to 505.59, 758.39 and 180.78

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Solution

The fourth proportional to 505.59, 758.39 and 180.78 is: 271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.59 : 758.39 = 180.78 : x
  2. Step 2: Convert to fraction form
    505.59/758.39 = 180.78/x
  3. Step 3: Cross multiply
    505.59x = 758.39 × 180.78
  4. Step 4: Simplify right side
    505.59x = 137,100.84
  5. Step 5: Solve for x
    x = 137,100.84/505.59
  6. Step 6: Final answer
    x = 271.17

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