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Finding the Fourth Proportional to 363.94, 502.14 and 233.08

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Solution

The fourth proportional to 363.94, 502.14 and 233.08 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.94 : 502.14 = 233.08 : x
  2. Step 2: Convert to fraction form
    363.94/502.14 = 233.08/x
  3. Step 3: Cross multiply
    363.94x = 502.14 × 233.08
  4. Step 4: Simplify right side
    363.94x = 117,038.79
  5. Step 5: Solve for x
    x = 117,038.79/363.94
  6. Step 6: Final answer
    x = 321.59

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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.