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Finding the Fourth Proportional to 339.27, 511.22 and 279.73

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Solution

The fourth proportional to 339.27, 511.22 and 279.73 is: 421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.27 : 511.22 = 279.73 : x
  2. Step 2: Convert to fraction form
    339.27/511.22 = 279.73/x
  3. Step 3: Cross multiply
    339.27x = 511.22 × 279.73
  4. Step 4: Simplify right side
    339.27x = 143,003.57
  5. Step 5: Solve for x
    x = 143,003.57/339.27
  6. Step 6: Final answer
    x = 421.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.