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Finding the Fourth Proportional to 330.96, 457 and 206.66

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Solution

The fourth proportional to 330.96, 457 and 206.66 is: 285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 457 = 206.66 : x
  2. Step 2: Convert to fraction form
    330.96/457 = 206.66/x
  3. Step 3: Cross multiply
    330.96x = 457 × 206.66
  4. Step 4: Simplify right side
    330.96x = 94,443.62
  5. Step 5: Solve for x
    x = 94,443.62/330.96
  6. Step 6: Final answer
    x = 285.36

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