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Finding the Fourth Proportional to 533.13, 798.82 and 327.27

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Solution

The fourth proportional to 533.13, 798.82 and 327.27 is: 490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.13 : 798.82 = 327.27 : x
  2. Step 2: Convert to fraction form
    533.13/798.82 = 327.27/x
  3. Step 3: Cross multiply
    533.13x = 798.82 × 327.27
  4. Step 4: Simplify right side
    533.13x = 261,429.82
  5. Step 5: Solve for x
    x = 261,429.82/533.13
  6. Step 6: Final answer
    x = 490.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.