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Finding the Fourth Proportional to 400.96, 553.22 and 253.66

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Solution

The fourth proportional to 400.96, 553.22 and 253.66 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.96 : 553.22 = 253.66 : x
  2. Step 2: Convert to fraction form
    400.96/553.22 = 253.66/x
  3. Step 3: Cross multiply
    400.96x = 553.22 × 253.66
  4. Step 4: Simplify right side
    400.96x = 140,325.75
  5. Step 5: Solve for x
    x = 140,325.75/400.96
  6. Step 6: Final answer
    x = 349.97

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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.