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Finding the Fourth Proportional to 361.28, 498.58 and 206

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Solution

The fourth proportional to 361.28, 498.58 and 206 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.28 : 498.58 = 206 : x
  2. Step 2: Convert to fraction form
    361.28/498.58 = 206/x
  3. Step 3: Cross multiply
    361.28x = 498.58 × 206
  4. Step 4: Simplify right side
    361.28x = 102,707.48
  5. Step 5: Solve for x
    x = 102,707.48/361.28
  6. Step 6: Final answer
    x = 284.29

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