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Finding the Fourth Proportional to 550.19, 759.07 and 363.38

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Solution

The fourth proportional to 550.19, 759.07 and 363.38 is: 501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.19 : 759.07 = 363.38 : x
  2. Step 2: Convert to fraction form
    550.19/759.07 = 363.38/x
  3. Step 3: Cross multiply
    550.19x = 759.07 × 363.38
  4. Step 4: Simplify right side
    550.19x = 275,830.86
  5. Step 5: Solve for x
    x = 275,830.86/550.19
  6. Step 6: Final answer
    x = 501.34

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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.