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Finding the Fourth Proportional to 363.84, 502.29 and 233.07

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Solution

The fourth proportional to 363.84, 502.29 and 233.07 is: 321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 502.29 = 233.07 : x
  2. Step 2: Convert to fraction form
    363.84/502.29 = 233.07/x
  3. Step 3: Cross multiply
    363.84x = 502.29 × 233.07
  4. Step 4: Simplify right side
    363.84x = 117,068.73
  5. Step 5: Solve for x
    x = 117,068.73/363.84
  6. Step 6: Final answer
    x = 321.76

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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.