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Finding the Fourth Proportional to 533.18, 798.88 and 327.12

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Solution

The fourth proportional to 533.18, 798.88 and 327.12 is: 490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.18 : 798.88 = 327.12 : x
  2. Step 2: Convert to fraction form
    533.18/798.88 = 327.12/x
  3. Step 3: Cross multiply
    533.18x = 798.88 × 327.12
  4. Step 4: Simplify right side
    533.18x = 261,329.63
  5. Step 5: Solve for x
    x = 261,329.63/533.18
  6. Step 6: Final answer
    x = 490.13

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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.