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Finding the Fourth Proportional to 551.34, 826.82 and 273.54

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Solution

The fourth proportional to 551.34, 826.82 and 273.54 is: 410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.34 : 826.82 = 273.54 : x
  2. Step 2: Convert to fraction form
    551.34/826.82 = 273.54/x
  3. Step 3: Cross multiply
    551.34x = 826.82 × 273.54
  4. Step 4: Simplify right side
    551.34x = 226,168.34
  5. Step 5: Solve for x
    x = 226,168.34/551.34
  6. Step 6: Final answer
    x = 410.22

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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.