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Finding the Fourth Proportional to 550.20, 759.31 and 337.44

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Solution

The fourth proportional to 550.20, 759.31 and 337.44 is: 465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 759.31 = 337.44 : x
  2. Step 2: Convert to fraction form
    550.20/759.31 = 337.44/x
  3. Step 3: Cross multiply
    550.20x = 759.31 × 337.44
  4. Step 4: Simplify right side
    550.20x = 256,220.72
  5. Step 5: Solve for x
    x = 256,220.72/550.20
  6. Step 6: Final answer
    x = 465.69

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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.