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Finding the Fourth Proportional to 362.43, 500.15 and 213.02

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Solution

The fourth proportional to 362.43, 500.15 and 213.02 is: 293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.43 : 500.15 = 213.02 : x
  2. Step 2: Convert to fraction form
    362.43/500.15 = 213.02/x
  3. Step 3: Cross multiply
    362.43x = 500.15 × 213.02
  4. Step 4: Simplify right side
    362.43x = 106,541.95
  5. Step 5: Solve for x
    x = 106,541.95/362.43
  6. Step 6: Final answer
    x = 293.97

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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.