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Finding the Fourth Proportional to 399.89, 551.83 and 225.20

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Solution

The fourth proportional to 399.89, 551.83 and 225.20 is: 310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.89 : 551.83 = 225.20 : x
  2. Step 2: Convert to fraction form
    399.89/551.83 = 225.20/x
  3. Step 3: Cross multiply
    399.89x = 551.83 × 225.20
  4. Step 4: Simplify right side
    399.89x = 124,270.74
  5. Step 5: Solve for x
    x = 124,270.74/399.89
  6. Step 6: Final answer
    x = 310.76

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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.