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Finding the Fourth Proportional to 533.81, 800.69 and 259.92

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Solution

The fourth proportional to 533.81, 800.69 and 259.92 is: 389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.81 : 800.69 = 259.92 : x
  2. Step 2: Convert to fraction form
    533.81/800.69 = 259.92/x
  3. Step 3: Cross multiply
    533.81x = 800.69 × 259.92
  4. Step 4: Simplify right side
    533.81x = 208,114.05
  5. Step 5: Solve for x
    x = 208,114.05/533.81
  6. Step 6: Final answer
    x = 389.87

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