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Finding the Fourth Proportional to 398.66, 550.15 and 224.00

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Solution

The fourth proportional to 398.66, 550.15 and 224.00 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.66 : 550.15 = 224.00 : x
  2. Step 2: Convert to fraction form
    398.66/550.15 = 224.00/x
  3. Step 3: Cross multiply
    398.66x = 550.15 × 224.00
  4. Step 4: Simplify right side
    398.66x = 123,234.42
  5. Step 5: Solve for x
    x = 123,234.42/398.66
  6. Step 6: Final answer
    x = 309.13

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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.