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Finding the Fourth Proportional to 399.45, 551.25 and 222.42

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Solution

The fourth proportional to 399.45, 551.25 and 222.42 is: 306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.45 : 551.25 = 222.42 : x
  2. Step 2: Convert to fraction form
    399.45/551.25 = 222.42/x
  3. Step 3: Cross multiply
    399.45x = 551.25 × 222.42
  4. Step 4: Simplify right side
    399.45x = 122,611.72
  5. Step 5: Solve for x
    x = 122,611.72/399.45
  6. Step 6: Final answer
    x = 306.95

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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.