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Finding the Fourth Proportional to 400.08, 552.24 and 252.96

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Solution

The fourth proportional to 400.08, 552.24 and 252.96 is: 349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.08 : 552.24 = 252.96 : x
  2. Step 2: Convert to fraction form
    400.08/552.24 = 252.96/x
  3. Step 3: Cross multiply
    400.08x = 552.24 × 252.96
  4. Step 4: Simplify right side
    400.08x = 139,694.63
  5. Step 5: Solve for x
    x = 139,694.63/400.08
  6. Step 6: Final answer
    x = 349.17

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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.