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Finding the Fourth Proportional to 468.95, 703.71 and 180.38

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Solution

The fourth proportional to 468.95, 703.71 and 180.38 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.95 : 703.71 = 180.38 : x
  2. Step 2: Convert to fraction form
    468.95/703.71 = 180.38/x
  3. Step 3: Cross multiply
    468.95x = 703.71 × 180.38
  4. Step 4: Simplify right side
    468.95x = 126,931.69
  5. Step 5: Solve for x
    x = 126,931.69/468.95
  6. Step 6: Final answer
    x = 270.68

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