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Finding the Fourth Proportional to 533.75, 800.72 and 225.75

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Solution

The fourth proportional to 533.75, 800.72 and 225.75 is: 338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 800.72 = 225.75 : x
  2. Step 2: Convert to fraction form
    533.75/800.72 = 225.75/x
  3. Step 3: Cross multiply
    533.75x = 800.72 × 225.75
  4. Step 4: Simplify right side
    533.75x = 180,761.41
  5. Step 5: Solve for x
    x = 180,761.41/533.75
  6. Step 6: Final answer
    x = 338.66

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Why These Related Problems?

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