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Finding the Fourth Proportional to 533.21, 735.85 and 323.43

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Solution

The fourth proportional to 533.21, 735.85 and 323.43 is: 446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.21 : 735.85 = 323.43 : x
  2. Step 2: Convert to fraction form
    533.21/735.85 = 323.43/x
  3. Step 3: Cross multiply
    533.21x = 735.85 × 323.43
  4. Step 4: Simplify right side
    533.21x = 237,995.97
  5. Step 5: Solve for x
    x = 237,995.97/533.21
  6. Step 6: Final answer
    x = 446.35

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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.