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Finding the Fourth Proportional to 329.36, 494.22 and 233.96

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Solution

The fourth proportional to 329.36, 494.22 and 233.96 is: 351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.36 : 494.22 = 233.96 : x
  2. Step 2: Convert to fraction form
    329.36/494.22 = 233.96/x
  3. Step 3: Cross multiply
    329.36x = 494.22 × 233.96
  4. Step 4: Simplify right side
    329.36x = 115,627.71
  5. Step 5: Solve for x
    x = 115,627.71/329.36
  6. Step 6: Final answer
    x = 351.07

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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.