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Finding the Fourth Proportional to 401.24, 553.70 and 224.24

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Solution

The fourth proportional to 401.24, 553.70 and 224.24 is: 309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.24 : 553.70 = 224.24 : x
  2. Step 2: Convert to fraction form
    401.24/553.70 = 224.24/x
  3. Step 3: Cross multiply
    401.24x = 553.70 × 224.24
  4. Step 4: Simplify right side
    401.24x = 124,159.48
  5. Step 5: Solve for x
    x = 124,159.48/401.24
  6. Step 6: Final answer
    x = 309.44

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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.