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Finding the Fourth Proportional to 533.31, 735.98 and 323.45

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Solution

The fourth proportional to 533.31, 735.98 and 323.45 is: 446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.31 : 735.98 = 323.45 : x
  2. Step 2: Convert to fraction form
    533.31/735.98 = 323.45/x
  3. Step 3: Cross multiply
    533.31x = 735.98 × 323.45
  4. Step 4: Simplify right side
    533.31x = 238,052.73
  5. Step 5: Solve for x
    x = 238,052.73/533.31
  6. Step 6: Final answer
    x = 446.37

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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.