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Finding the Fourth Proportional to 533.25, 800.33 and 396.56

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Solution

The fourth proportional to 533.25, 800.33 and 396.56 is: 595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.25 : 800.33 = 396.56 : x
  2. Step 2: Convert to fraction form
    533.25/800.33 = 396.56/x
  3. Step 3: Cross multiply
    533.25x = 800.33 × 396.56
  4. Step 4: Simplify right side
    533.25x = 317,378.88
  5. Step 5: Solve for x
    x = 317,378.88/533.25
  6. Step 6: Final answer
    x = 595.18

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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.