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Finding the Fourth Proportional to 533.12, 735.60 and 326

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Solution

The fourth proportional to 533.12, 735.60 and 326 is: 449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.12 : 735.60 = 326 : x
  2. Step 2: Convert to fraction form
    533.12/735.60 = 326/x
  3. Step 3: Cross multiply
    533.12x = 735.60 × 326
  4. Step 4: Simplify right side
    533.12x = 239,805.60
  5. Step 5: Solve for x
    x = 239,805.60/533.12
  6. Step 6: Final answer
    x = 449.82

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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.