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Finding the Fourth Proportional to 399.38, 551.13 and 222.34

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Solution

The fourth proportional to 399.38, 551.13 and 222.34 is: 306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.38 : 551.13 = 222.34 : x
  2. Step 2: Convert to fraction form
    399.38/551.13 = 222.34/x
  3. Step 3: Cross multiply
    399.38x = 551.13 × 222.34
  4. Step 4: Simplify right side
    399.38x = 122,538.80
  5. Step 5: Solve for x
    x = 122,538.80/399.38
  6. Step 6: Final answer
    x = 306.82

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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.