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Finding the Fourth Proportional to 533.24, 735.90 and 309.20

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Solution

The fourth proportional to 533.24, 735.90 and 309.20 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.24 : 735.90 = 309.20 : x
  2. Step 2: Convert to fraction form
    533.24/735.90 = 309.20/x
  3. Step 3: Cross multiply
    533.24x = 735.90 × 309.20
  4. Step 4: Simplify right side
    533.24x = 227,540.28
  5. Step 5: Solve for x
    x = 227,540.28/533.24
  6. Step 6: Final answer
    x = 426.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.