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Finding the Fourth Proportional to 361.68, 499 and 206.40

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Solution

The fourth proportional to 361.68, 499 and 206.40 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.68 : 499 = 206.40 : x
  2. Step 2: Convert to fraction form
    361.68/499 = 206.40/x
  3. Step 3: Cross multiply
    361.68x = 499 × 206.40
  4. Step 4: Simplify right side
    361.68x = 102,993.60
  5. Step 5: Solve for x
    x = 102,993.60/361.68
  6. Step 6: Final answer
    x = 284.76

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