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Finding the Fourth Proportional to 550.74, 826.32 and 242.52

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Solution

The fourth proportional to 550.74, 826.32 and 242.52 is: 363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.74 : 826.32 = 242.52 : x
  2. Step 2: Convert to fraction form
    550.74/826.32 = 242.52/x
  3. Step 3: Cross multiply
    550.74x = 826.32 × 242.52
  4. Step 4: Simplify right side
    550.74x = 200,399.13
  5. Step 5: Solve for x
    x = 200,399.13/550.74
  6. Step 6: Final answer
    x = 363.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.