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Finding the Fourth Proportional to 362.56, 500.36 and 213.23

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Solution

The fourth proportional to 362.56, 500.36 and 213.23 is: 294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.56 : 500.36 = 213.23 : x
  2. Step 2: Convert to fraction form
    362.56/500.36 = 213.23/x
  3. Step 3: Cross multiply
    362.56x = 500.36 × 213.23
  4. Step 4: Simplify right side
    362.56x = 106,691.76
  5. Step 5: Solve for x
    x = 106,691.76/362.56
  6. Step 6: Final answer
    x = 294.27

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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.