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Finding the Fourth Proportional to 338.20, 465.75 and 279.45

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Solution

The fourth proportional to 338.20, 465.75 and 279.45 is: 384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.20 : 465.75 = 279.45 : x
  2. Step 2: Convert to fraction form
    338.20/465.75 = 279.45/x
  3. Step 3: Cross multiply
    338.20x = 465.75 × 279.45
  4. Step 4: Simplify right side
    338.20x = 130,153.84
  5. Step 5: Solve for x
    x = 130,153.84/338.20
  6. Step 6: Final answer
    x = 384.85

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