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Finding the Fourth Proportional to 352.26, 485.67 and 232.61

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Solution

The fourth proportional to 352.26, 485.67 and 232.61 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.26 : 485.67 = 232.61 : x
  2. Step 2: Convert to fraction form
    352.26/485.67 = 232.61/x
  3. Step 3: Cross multiply
    352.26x = 485.67 × 232.61
  4. Step 4: Simplify right side
    352.26x = 112,971.70
  5. Step 5: Solve for x
    x = 112,971.70/352.26
  6. Step 6: Final answer
    x = 320.71

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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.