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Finding the Fourth Proportional to 533.57, 800.40 and 168.41

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Solution

The fourth proportional to 533.57, 800.40 and 168.41 is: 252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.57 : 800.40 = 168.41 : x
  2. Step 2: Convert to fraction form
    533.57/800.40 = 168.41/x
  3. Step 3: Cross multiply
    533.57x = 800.40 × 168.41
  4. Step 4: Simplify right side
    533.57x = 134,791.36
  5. Step 5: Solve for x
    x = 134,791.36/533.57
  6. Step 6: Final answer
    x = 252.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.