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Finding the Fourth Proportional to 550.38, 758.07 and 426.03

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Solution

The fourth proportional to 550.38, 758.07 and 426.03 is: 586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.38 : 758.07 = 426.03 : x
  2. Step 2: Convert to fraction form
    550.38/758.07 = 426.03/x
  3. Step 3: Cross multiply
    550.38x = 758.07 × 426.03
  4. Step 4: Simplify right side
    550.38x = 322,960.56
  5. Step 5: Solve for x
    x = 322,960.56/550.38
  6. Step 6: Final answer
    x = 586.80

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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.