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Finding the Fourth Proportional to 398.99, 550.61 and 224.34

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Solution

The fourth proportional to 398.99, 550.61 and 224.34 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.99 : 550.61 = 224.34 : x
  2. Step 2: Convert to fraction form
    398.99/550.61 = 224.34/x
  3. Step 3: Cross multiply
    398.99x = 550.61 × 224.34
  4. Step 4: Simplify right side
    398.99x = 123,519.97
  5. Step 5: Solve for x
    x = 123,519.97/398.99
  6. Step 6: Final answer
    x = 309.58

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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.