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Finding the Fourth Proportional to 401.10, 553.46 and 224.06

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Solution

The fourth proportional to 401.10, 553.46 and 224.06 is: 309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.10 : 553.46 = 224.06 : x
  2. Step 2: Convert to fraction form
    401.10/553.46 = 224.06/x
  3. Step 3: Cross multiply
    401.10x = 553.46 × 224.06
  4. Step 4: Simplify right side
    401.10x = 124,008.25
  5. Step 5: Solve for x
    x = 124,008.25/401.10
  6. Step 6: Final answer
    x = 309.17

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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.