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Finding the Fourth Proportional to 362.89, 500.67 and 213.47

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Solution

The fourth proportional to 362.89, 500.67 and 213.47 is: 294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.89 : 500.67 = 213.47 : x
  2. Step 2: Convert to fraction form
    362.89/500.67 = 213.47/x
  3. Step 3: Cross multiply
    362.89x = 500.67 × 213.47
  4. Step 4: Simplify right side
    362.89x = 106,875.92
  5. Step 5: Solve for x
    x = 106,875.92/362.89
  6. Step 6: Final answer
    x = 294.51

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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.