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Finding the Fourth Proportional to 367.07, 507.04 and 269.33

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Solution

The fourth proportional to 367.07, 507.04 and 269.33 is: 372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.07 : 507.04 = 269.33 : x
  2. Step 2: Convert to fraction form
    367.07/507.04 = 269.33/x
  3. Step 3: Cross multiply
    367.07x = 507.04 × 269.33
  4. Step 4: Simplify right side
    367.07x = 136,557.87
  5. Step 5: Solve for x
    x = 136,557.87/367.07
  6. Step 6: Final answer
    x = 372.03

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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.