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Finding the Fourth Proportional to 400.77, 553.04 and 223.74

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Solution

The fourth proportional to 400.77, 553.04 and 223.74 is: 308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.77 : 553.04 = 223.74 : x
  2. Step 2: Convert to fraction form
    400.77/553.04 = 223.74/x
  3. Step 3: Cross multiply
    400.77x = 553.04 × 223.74
  4. Step 4: Simplify right side
    400.77x = 123,736.05
  5. Step 5: Solve for x
    x = 123,736.05/400.77
  6. Step 6: Final answer
    x = 308.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.