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Finding the Fourth Proportional to 539.21, 744.09 and 306.38

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Solution

The fourth proportional to 539.21, 744.09 and 306.38 is: 422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.21 : 744.09 = 306.38 : x
  2. Step 2: Convert to fraction form
    539.21/744.09 = 306.38/x
  3. Step 3: Cross multiply
    539.21x = 744.09 × 306.38
  4. Step 4: Simplify right side
    539.21x = 227,974.29
  5. Step 5: Solve for x
    x = 227,974.29/539.21
  6. Step 6: Final answer
    x = 422.79

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Why These Related Problems?

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