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Finding the Fourth Proportional to 346.23, 477.84 and 206.37

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Solution

The fourth proportional to 346.23, 477.84 and 206.37 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.23 : 477.84 = 206.37 : x
  2. Step 2: Convert to fraction form
    346.23/477.84 = 206.37/x
  3. Step 3: Cross multiply
    346.23x = 477.84 × 206.37
  4. Step 4: Simplify right side
    346.23x = 98,611.84
  5. Step 5: Solve for x
    x = 98,611.84/346.23
  6. Step 6: Final answer
    x = 284.82

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