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Finding the Fourth Proportional to 533.62, 735.99 and 422.90

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Solution

The fourth proportional to 533.62, 735.99 and 422.90 is: 583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.62 : 735.99 = 422.90 : x
  2. Step 2: Convert to fraction form
    533.62/735.99 = 422.90/x
  3. Step 3: Cross multiply
    533.62x = 735.99 × 422.90
  4. Step 4: Simplify right side
    533.62x = 311,251.81
  5. Step 5: Solve for x
    x = 311,251.81/533.62
  6. Step 6: Final answer
    x = 583.28

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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.