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Finding the Fourth Proportional to 367.58, 507.29 and 269.37

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Solution

The fourth proportional to 367.58, 507.29 and 269.37 is: 371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.58 : 507.29 = 269.37 : x
  2. Step 2: Convert to fraction form
    367.58/507.29 = 269.37/x
  3. Step 3: Cross multiply
    367.58x = 507.29 × 269.37
  4. Step 4: Simplify right side
    367.58x = 136,648.71
  5. Step 5: Solve for x
    x = 136,648.71/367.58
  6. Step 6: Final answer
    x = 371.75

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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.