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Finding the Fourth Proportional to 399.88, 551.78 and 233.97

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Solution

The fourth proportional to 399.88, 551.78 and 233.97 is: 322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.88 : 551.78 = 233.97 : x
  2. Step 2: Convert to fraction form
    399.88/551.78 = 233.97/x
  3. Step 3: Cross multiply
    399.88x = 551.78 × 233.97
  4. Step 4: Simplify right side
    399.88x = 129,099.49
  5. Step 5: Solve for x
    x = 129,099.49/399.88
  6. Step 6: Final answer
    x = 322.85

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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.