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Finding the Fourth Proportional to 363.89, 544.94 and 233.48

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Solution

The fourth proportional to 363.89, 544.94 and 233.48 is: 349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.89 : 544.94 = 233.48 : x
  2. Step 2: Convert to fraction form
    363.89/544.94 = 233.48/x
  3. Step 3: Cross multiply
    363.89x = 544.94 × 233.48
  4. Step 4: Simplify right side
    363.89x = 127,232.93
  5. Step 5: Solve for x
    x = 127,232.93/363.89
  6. Step 6: Final answer
    x = 349.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.