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Finding the Fourth Proportional to 400.41, 552.53 and 223.38

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Solution

The fourth proportional to 400.41, 552.53 and 223.38 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.41 : 552.53 = 223.38 : x
  2. Step 2: Convert to fraction form
    400.41/552.53 = 223.38/x
  3. Step 3: Cross multiply
    400.41x = 552.53 × 223.38
  4. Step 4: Simplify right side
    400.41x = 123,424.71
  5. Step 5: Solve for x
    x = 123,424.71/400.41
  6. Step 6: Final answer
    x = 308.25

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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.