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Finding the Fourth Proportional to 346.28, 477.80 and 206.46

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Solution

The fourth proportional to 346.28, 477.80 and 206.46 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.28 : 477.80 = 206.46 : x
  2. Step 2: Convert to fraction form
    346.28/477.80 = 206.46/x
  3. Step 3: Cross multiply
    346.28x = 477.80 × 206.46
  4. Step 4: Simplify right side
    346.28x = 98,646.59
  5. Step 5: Solve for x
    x = 98,646.59/346.28
  6. Step 6: Final answer
    x = 284.88

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