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Finding the Fourth Proportional to 399.29, 551.01 and 224.63

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Solution

The fourth proportional to 399.29, 551.01 and 224.63 is: 309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.29 : 551.01 = 224.63 : x
  2. Step 2: Convert to fraction form
    399.29/551.01 = 224.63/x
  3. Step 3: Cross multiply
    399.29x = 551.01 × 224.63
  4. Step 4: Simplify right side
    399.29x = 123,770.62
  5. Step 5: Solve for x
    x = 123,770.62/399.29
  6. Step 6: Final answer
    x = 309.98

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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.