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Finding the Fourth Proportional to 367.36, 506.64 and 269.08

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Solution

The fourth proportional to 367.36, 506.64 and 269.08 is: 371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.36 : 506.64 = 269.08 : x
  2. Step 2: Convert to fraction form
    367.36/506.64 = 269.08/x
  3. Step 3: Cross multiply
    367.36x = 506.64 × 269.08
  4. Step 4: Simplify right side
    367.36x = 136,326.69
  5. Step 5: Solve for x
    x = 136,326.69/367.36
  6. Step 6: Final answer
    x = 371.10

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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.