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Finding the Fourth Proportional to 539.82, 809.73 and 215.19

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Solution

The fourth proportional to 539.82, 809.73 and 215.19 is: 322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.82 : 809.73 = 215.19 : x
  2. Step 2: Convert to fraction form
    539.82/809.73 = 215.19/x
  3. Step 3: Cross multiply
    539.82x = 809.73 × 215.19
  4. Step 4: Simplify right side
    539.82x = 174,245.80
  5. Step 5: Solve for x
    x = 174,245.80/539.82
  6. Step 6: Final answer
    x = 322.79

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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.