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Finding the Fourth Proportional to 354, 488.52 and 206.64

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Solution

The fourth proportional to 354, 488.52 and 206.64 is: 285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354 : 488.52 = 206.64 : x
  2. Step 2: Convert to fraction form
    354/488.52 = 206.64/x
  3. Step 3: Cross multiply
    354x = 488.52 × 206.64
  4. Step 4: Simplify right side
    354x = 100,947.77
  5. Step 5: Solve for x
    x = 100,947.77/354
  6. Step 6: Final answer
    x = 285.16

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