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Finding the Fourth Proportional to 362.36, 500.27 and 231.44

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Solution

The fourth proportional to 362.36, 500.27 and 231.44 is: 319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.36 : 500.27 = 231.44 : x
  2. Step 2: Convert to fraction form
    362.36/500.27 = 231.44/x
  3. Step 3: Cross multiply
    362.36x = 500.27 × 231.44
  4. Step 4: Simplify right side
    362.36x = 115,782.49
  5. Step 5: Solve for x
    x = 115,782.49/362.36
  6. Step 6: Final answer
    x = 319.52

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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.