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Finding the Fourth Proportional to 533.79, 800.10 and 208.80

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Solution

The fourth proportional to 533.79, 800.10 and 208.80 is: 312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.79 : 800.10 = 208.80 : x
  2. Step 2: Convert to fraction form
    533.79/800.10 = 208.80/x
  3. Step 3: Cross multiply
    533.79x = 800.10 × 208.80
  4. Step 4: Simplify right side
    533.79x = 167,060.88
  5. Step 5: Solve for x
    x = 167,060.88/533.79
  6. Step 6: Final answer
    x = 312.97

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