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Finding the Fourth Proportional to 533.25, 799.97 and 225.25

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Solution

The fourth proportional to 533.25, 799.97 and 225.25 is: 337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.25 : 799.97 = 225.25 : x
  2. Step 2: Convert to fraction form
    533.25/799.97 = 225.25/x
  3. Step 3: Cross multiply
    533.25x = 799.97 × 225.25
  4. Step 4: Simplify right side
    533.25x = 180,190.12
  5. Step 5: Solve for x
    x = 180,190.12/533.25
  6. Step 6: Final answer
    x = 337.91

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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.