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Finding the Fourth Proportional to 550.26, 759.48 and 363.77

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Solution

The fourth proportional to 550.26, 759.48 and 363.77 is: 502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.26 : 759.48 = 363.77 : x
  2. Step 2: Convert to fraction form
    550.26/759.48 = 363.77/x
  3. Step 3: Cross multiply
    550.26x = 759.48 × 363.77
  4. Step 4: Simplify right side
    550.26x = 276,276.57
  5. Step 5: Solve for x
    x = 276,276.57/550.26
  6. Step 6: Final answer
    x = 502.09

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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.