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Finding the Fourth Proportional to 645.87, 969.22 and 234.97

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Solution

The fourth proportional to 645.87, 969.22 and 234.97 is: 352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.87 : 969.22 = 234.97 : x
  2. Step 2: Convert to fraction form
    645.87/969.22 = 234.97/x
  3. Step 3: Cross multiply
    645.87x = 969.22 × 234.97
  4. Step 4: Simplify right side
    645.87x = 227,739.13
  5. Step 5: Solve for x
    x = 227,739.13/645.87
  6. Step 6: Final answer
    x = 352.61

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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.