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Finding the Fourth Proportional to 363.76, 502.26 and 232.84

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Solution

The fourth proportional to 363.76, 502.26 and 232.84 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.76 : 502.26 = 232.84 : x
  2. Step 2: Convert to fraction form
    363.76/502.26 = 232.84/x
  3. Step 3: Cross multiply
    363.76x = 502.26 × 232.84
  4. Step 4: Simplify right side
    363.76x = 116,946.22
  5. Step 5: Solve for x
    x = 116,946.22/363.76
  6. Step 6: Final answer
    x = 321.49

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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.