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Finding the Fourth Proportional to 539.15, 806.48 and 491.09

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Solution

The fourth proportional to 539.15, 806.48 and 491.09 is: 734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.15 : 806.48 = 491.09 : x
  2. Step 2: Convert to fraction form
    539.15/806.48 = 491.09/x
  3. Step 3: Cross multiply
    539.15x = 806.48 × 491.09
  4. Step 4: Simplify right side
    539.15x = 396,051.81
  5. Step 5: Solve for x
    x = 396,051.81/539.15
  6. Step 6: Final answer
    x = 734.59

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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.