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Finding the Fourth Proportional to 460.52, 690.78 and 186.80

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Solution

The fourth proportional to 460.52, 690.78 and 186.80 is: 280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.52 : 690.78 = 186.80 : x
  2. Step 2: Convert to fraction form
    460.52/690.78 = 186.80/x
  3. Step 3: Cross multiply
    460.52x = 690.78 × 186.80
  4. Step 4: Simplify right side
    460.52x = 129,037.79
  5. Step 5: Solve for x
    x = 129,037.79/460.52
  6. Step 6: Final answer
    x = 280.20

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