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Finding the Fourth Proportional to 400.22, 552.32 and 252.80

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Solution

The fourth proportional to 400.22, 552.32 and 252.80 is: 348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.22 : 552.32 = 252.80 : x
  2. Step 2: Convert to fraction form
    400.22/552.32 = 252.80/x
  3. Step 3: Cross multiply
    400.22x = 552.32 × 252.80
  4. Step 4: Simplify right side
    400.22x = 139,626.50
  5. Step 5: Solve for x
    x = 139,626.50/400.22
  6. Step 6: Final answer
    x = 348.87

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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.