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Finding the Fourth Proportional to 550.96, 826.56 and 262.48

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Solution

The fourth proportional to 550.96, 826.56 and 262.48 is: 393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.96 : 826.56 = 262.48 : x
  2. Step 2: Convert to fraction form
    550.96/826.56 = 262.48/x
  3. Step 3: Cross multiply
    550.96x = 826.56 × 262.48
  4. Step 4: Simplify right side
    550.96x = 216,955.47
  5. Step 5: Solve for x
    x = 216,955.47/550.96
  6. Step 6: Final answer
    x = 393.78

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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.