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Finding the Fourth Proportional to 401.17, 553.59 and 224.14

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Solution

The fourth proportional to 401.17, 553.59 and 224.14 is: 309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.17 : 553.59 = 224.14 : x
  2. Step 2: Convert to fraction form
    401.17/553.59 = 224.14/x
  3. Step 3: Cross multiply
    401.17x = 553.59 × 224.14
  4. Step 4: Simplify right side
    401.17x = 124,081.66
  5. Step 5: Solve for x
    x = 124,081.66/401.17
  6. Step 6: Final answer
    x = 309.30

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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.