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Finding the Fourth Proportional to 363.94, 502.27 and 233.06

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Solution

The fourth proportional to 363.94, 502.27 and 233.06 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.94 : 502.27 = 233.06 : x
  2. Step 2: Convert to fraction form
    363.94/502.27 = 233.06/x
  3. Step 3: Cross multiply
    363.94x = 502.27 × 233.06
  4. Step 4: Simplify right side
    363.94x = 117,055.95
  5. Step 5: Solve for x
    x = 117,055.95/363.94
  6. Step 6: Final answer
    x = 321.64

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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.