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Finding the Fourth Proportional to 460.75, 690.57 and 216.80

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Solution

The fourth proportional to 460.75, 690.57 and 216.80 is: 324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.75 : 690.57 = 216.80 : x
  2. Step 2: Convert to fraction form
    460.75/690.57 = 216.80/x
  3. Step 3: Cross multiply
    460.75x = 690.57 × 216.80
  4. Step 4: Simplify right side
    460.75x = 149,715.58
  5. Step 5: Solve for x
    x = 149,715.58/460.75
  6. Step 6: Final answer
    x = 324.94

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