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Finding the Fourth Proportional to 400.89, 553.16 and 226.24

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Solution

The fourth proportional to 400.89, 553.16 and 226.24 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.89 : 553.16 = 226.24 : x
  2. Step 2: Convert to fraction form
    400.89/553.16 = 226.24/x
  3. Step 3: Cross multiply
    400.89x = 553.16 × 226.24
  4. Step 4: Simplify right side
    400.89x = 125,146.10
  5. Step 5: Solve for x
    x = 125,146.10/400.89
  6. Step 6: Final answer
    x = 312.17

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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.