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Finding the Fourth Proportional to 398.98, 550.59 and 224.32

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Solution

The fourth proportional to 398.98, 550.59 and 224.32 is: 309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.98 : 550.59 = 224.32 : x
  2. Step 2: Convert to fraction form
    398.98/550.59 = 224.32/x
  3. Step 3: Cross multiply
    398.98x = 550.59 × 224.32
  4. Step 4: Simplify right side
    398.98x = 123,508.35
  5. Step 5: Solve for x
    x = 123,508.35/398.98
  6. Step 6: Final answer
    x = 309.56

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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.