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Finding the Fourth Proportional to 550.85, 759.78 and 426.47

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Solution

The fourth proportional to 550.85, 759.78 and 426.47 is: 588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.85 : 759.78 = 426.47 : x
  2. Step 2: Convert to fraction form
    550.85/759.78 = 426.47/x
  3. Step 3: Cross multiply
    550.85x = 759.78 × 426.47
  4. Step 4: Simplify right side
    550.85x = 324,019.58
  5. Step 5: Solve for x
    x = 324,019.58/550.85
  6. Step 6: Final answer
    x = 588.22

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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.