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Finding the Fourth Proportional to 283.82, 391.38 and 261.76

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Solution

The fourth proportional to 283.82, 391.38 and 261.76 is: 360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.82 : 391.38 = 261.76 : x
  2. Step 2: Convert to fraction form
    283.82/391.38 = 261.76/x
  3. Step 3: Cross multiply
    283.82x = 391.38 × 261.76
  4. Step 4: Simplify right side
    283.82x = 102,447.63
  5. Step 5: Solve for x
    x = 102,447.63/283.82
  6. Step 6: Final answer
    x = 360.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.