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Finding the Fourth Proportional to 400.99, 553.38 and 223.96

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Solution

The fourth proportional to 400.99, 553.38 and 223.96 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.99 : 553.38 = 223.96 : x
  2. Step 2: Convert to fraction form
    400.99/553.38 = 223.96/x
  3. Step 3: Cross multiply
    400.99x = 553.38 × 223.96
  4. Step 4: Simplify right side
    400.99x = 123,933.25
  5. Step 5: Solve for x
    x = 123,933.25/400.99
  6. Step 6: Final answer
    x = 309.07

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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.