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Finding the Fourth Proportional to 367.91, 507.62 and 269.49

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Solution

The fourth proportional to 367.91, 507.62 and 269.49 is: 371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.91 : 507.62 = 269.49 : x
  2. Step 2: Convert to fraction form
    367.91/507.62 = 269.49/x
  3. Step 3: Cross multiply
    367.91x = 507.62 × 269.49
  4. Step 4: Simplify right side
    367.91x = 136,799.19
  5. Step 5: Solve for x
    x = 136,799.19/367.91
  6. Step 6: Final answer
    x = 371.83

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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.