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Finding the Fourth Proportional to 550.14, 759.08 and 363.94

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Solution

The fourth proportional to 550.14, 759.08 and 363.94 is: 502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.14 : 759.08 = 363.94 : x
  2. Step 2: Convert to fraction form
    550.14/759.08 = 363.94/x
  3. Step 3: Cross multiply
    550.14x = 759.08 × 363.94
  4. Step 4: Simplify right side
    550.14x = 276,259.58
  5. Step 5: Solve for x
    x = 276,259.58/550.14
  6. Step 6: Final answer
    x = 502.16

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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.