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Finding the Fourth Proportional to 539.82, 744.30 and 451.42

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Solution

The fourth proportional to 539.82, 744.30 and 451.42 is: 622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.82 : 744.30 = 451.42 : x
  2. Step 2: Convert to fraction form
    539.82/744.30 = 451.42/x
  3. Step 3: Cross multiply
    539.82x = 744.30 × 451.42
  4. Step 4: Simplify right side
    539.82x = 335,991.91
  5. Step 5: Solve for x
    x = 335,991.91/539.82
  6. Step 6: Final answer
    x = 622.41

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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.