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Finding the Fourth Proportional to 465.22, 641.96 and 268.70

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Solution

The fourth proportional to 465.22, 641.96 and 268.70 is: 370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.22 : 641.96 = 268.70 : x
  2. Step 2: Convert to fraction form
    465.22/641.96 = 268.70/x
  3. Step 3: Cross multiply
    465.22x = 641.96 × 268.70
  4. Step 4: Simplify right side
    465.22x = 172,494.65
  5. Step 5: Solve for x
    x = 172,494.65/465.22
  6. Step 6: Final answer
    x = 370.78

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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.