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Finding the Fourth Proportional to 533.36, 735.24 and 326

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Solution

The fourth proportional to 533.36, 735.24 and 326 is: 449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.36 : 735.24 = 326 : x
  2. Step 2: Convert to fraction form
    533.36/735.24 = 326/x
  3. Step 3: Cross multiply
    533.36x = 735.24 × 326
  4. Step 4: Simplify right side
    533.36x = 239,688.24
  5. Step 5: Solve for x
    x = 239,688.24/533.36
  6. Step 6: Final answer
    x = 449.39

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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.