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Finding the Fourth Proportional to 313.68, 431.82 and 269.76

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Solution

The fourth proportional to 313.68, 431.82 and 269.76 is: 371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.68 : 431.82 = 269.76 : x
  2. Step 2: Convert to fraction form
    313.68/431.82 = 269.76/x
  3. Step 3: Cross multiply
    313.68x = 431.82 × 269.76
  4. Step 4: Simplify right side
    313.68x = 116,487.76
  5. Step 5: Solve for x
    x = 116,487.76/313.68
  6. Step 6: Final answer
    x = 371.36

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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.