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Finding the Fourth Proportional to 367.36, 507.27 and 269.62

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Solution

The fourth proportional to 367.36, 507.27 and 269.62 is: 372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.36 : 507.27 = 269.62 : x
  2. Step 2: Convert to fraction form
    367.36/507.27 = 269.62/x
  3. Step 3: Cross multiply
    367.36x = 507.27 × 269.62
  4. Step 4: Simplify right side
    367.36x = 136,770.14
  5. Step 5: Solve for x
    x = 136,770.14/367.36
  6. Step 6: Final answer
    x = 372.31

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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.