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Finding the Fourth Proportional to 400.40, 552.52 and 223.36

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Solution

The fourth proportional to 400.40, 552.52 and 223.36 is: 308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.40 : 552.52 = 223.36 : x
  2. Step 2: Convert to fraction form
    400.40/552.52 = 223.36/x
  3. Step 3: Cross multiply
    400.40x = 552.52 × 223.36
  4. Step 4: Simplify right side
    400.40x = 123,410.87
  5. Step 5: Solve for x
    x = 123,410.87/400.40
  6. Step 6: Final answer
    x = 308.22

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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.