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Finding the Fourth Proportional to 399.62, 551.37 and 222.59

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Solution

The fourth proportional to 399.62, 551.37 and 222.59 is: 307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.62 : 551.37 = 222.59 : x
  2. Step 2: Convert to fraction form
    399.62/551.37 = 222.59/x
  3. Step 3: Cross multiply
    399.62x = 551.37 × 222.59
  4. Step 4: Simplify right side
    399.62x = 122,729.45
  5. Step 5: Solve for x
    x = 122,729.45/399.62
  6. Step 6: Final answer
    x = 307.12

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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.