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Finding the Fourth Proportional to 533.46, 735.74 and 408.80

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Solution

The fourth proportional to 533.46, 735.74 and 408.80 is: 563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.46 : 735.74 = 408.80 : x
  2. Step 2: Convert to fraction form
    533.46/735.74 = 408.80/x
  3. Step 3: Cross multiply
    533.46x = 735.74 × 408.80
  4. Step 4: Simplify right side
    533.46x = 300,770.51
  5. Step 5: Solve for x
    x = 300,770.51/533.46
  6. Step 6: Final answer
    x = 563.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.