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Finding the Fourth Proportional to 330.82, 456.50 and 206.46

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Solution

The fourth proportional to 330.82, 456.50 and 206.46 is: 284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.82 : 456.50 = 206.46 : x
  2. Step 2: Convert to fraction form
    330.82/456.50 = 206.46/x
  3. Step 3: Cross multiply
    330.82x = 456.50 × 206.46
  4. Step 4: Simplify right side
    330.82x = 94,248.99
  5. Step 5: Solve for x
    x = 94,248.99/330.82
  6. Step 6: Final answer
    x = 284.90

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