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Finding the Fourth Proportional to 362.24, 499.76 and 214.82

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Solution

The fourth proportional to 362.24, 499.76 and 214.82 is: 296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.24 : 499.76 = 214.82 : x
  2. Step 2: Convert to fraction form
    362.24/499.76 = 214.82/x
  3. Step 3: Cross multiply
    362.24x = 499.76 × 214.82
  4. Step 4: Simplify right side
    362.24x = 107,358.44
  5. Step 5: Solve for x
    x = 107,358.44/362.24
  6. Step 6: Final answer
    x = 296.37

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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.