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Finding the Fourth Proportional to 398.59, 550.07 and 223.94

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Solution

The fourth proportional to 398.59, 550.07 and 223.94 is: 309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.59 : 550.07 = 223.94 : x
  2. Step 2: Convert to fraction form
    398.59/550.07 = 223.94/x
  3. Step 3: Cross multiply
    398.59x = 550.07 × 223.94
  4. Step 4: Simplify right side
    398.59x = 123,182.68
  5. Step 5: Solve for x
    x = 123,182.68/398.59
  6. Step 6: Final answer
    x = 309.05

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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.