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Finding the Fourth Proportional to 362.46, 500.22 and 215.13

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Solution

The fourth proportional to 362.46, 500.22 and 215.13 is: 296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.46 : 500.22 = 215.13 : x
  2. Step 2: Convert to fraction form
    362.46/500.22 = 215.13/x
  3. Step 3: Cross multiply
    362.46x = 500.22 × 215.13
  4. Step 4: Simplify right side
    362.46x = 107,612.33
  5. Step 5: Solve for x
    x = 107,612.33/362.46
  6. Step 6: Final answer
    x = 296.89

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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.