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Finding the Fourth Proportional to 400.23, 552.38 and 252.91

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Solution

The fourth proportional to 400.23, 552.38 and 252.91 is: 349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.23 : 552.38 = 252.91 : x
  2. Step 2: Convert to fraction form
    400.23/552.38 = 252.91/x
  3. Step 3: Cross multiply
    400.23x = 552.38 × 252.91
  4. Step 4: Simplify right side
    400.23x = 139,702.43
  5. Step 5: Solve for x
    x = 139,702.43/400.23
  6. Step 6: Final answer
    x = 349.06

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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.