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Finding the Fourth Proportional to 283.23, 426.34 and 241.47

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Solution

The fourth proportional to 283.23, 426.34 and 241.47 is: 363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.23 : 426.34 = 241.47 : x
  2. Step 2: Convert to fraction form
    283.23/426.34 = 241.47/x
  3. Step 3: Cross multiply
    283.23x = 426.34 × 241.47
  4. Step 4: Simplify right side
    283.23x = 102,947.72
  5. Step 5: Solve for x
    x = 102,947.72/283.23
  6. Step 6: Final answer
    x = 363.48

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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.