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Finding the Fourth Proportional to 401.09, 553.43 and 224.04

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Solution

The fourth proportional to 401.09, 553.43 and 224.04 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.09 : 553.43 = 224.04 : x
  2. Step 2: Convert to fraction form
    401.09/553.43 = 224.04/x
  3. Step 3: Cross multiply
    401.09x = 553.43 × 224.04
  4. Step 4: Simplify right side
    401.09x = 123,990.46
  5. Step 5: Solve for x
    x = 123,990.46/401.09
  6. Step 6: Final answer
    x = 309.13

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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.