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Finding the Fourth Proportional to 361.64, 499 and 206.36

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Solution

The fourth proportional to 361.64, 499 and 206.36 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.64 : 499 = 206.36 : x
  2. Step 2: Convert to fraction form
    361.64/499 = 206.36/x
  3. Step 3: Cross multiply
    361.64x = 499 × 206.36
  4. Step 4: Simplify right side
    361.64x = 102,973.64
  5. Step 5: Solve for x
    x = 102,973.64/361.64
  6. Step 6: Final answer
    x = 284.74

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