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Finding the Fourth Proportional to 398.68, 550.22 and 224.08

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Solution

The fourth proportional to 398.68, 550.22 and 224.08 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.68 : 550.22 = 224.08 : x
  2. Step 2: Convert to fraction form
    398.68/550.22 = 224.08/x
  3. Step 3: Cross multiply
    398.68x = 550.22 × 224.08
  4. Step 4: Simplify right side
    398.68x = 123,292.18
  5. Step 5: Solve for x
    x = 123,292.18/398.68
  6. Step 6: Final answer
    x = 309.25

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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.