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Finding the Fourth Proportional to 544.37, 817.31 and 338.33

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Solution

The fourth proportional to 544.37, 817.31 and 338.33 is: 507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.37 : 817.31 = 338.33 : x
  2. Step 2: Convert to fraction form
    544.37/817.31 = 338.33/x
  3. Step 3: Cross multiply
    544.37x = 817.31 × 338.33
  4. Step 4: Simplify right side
    544.37x = 276,516.88
  5. Step 5: Solve for x
    x = 276,516.88/544.37
  6. Step 6: Final answer
    x = 507.96

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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.