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Finding the Fourth Proportional to 399.89, 551.83 and 234.10

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Solution

The fourth proportional to 399.89, 551.83 and 234.10 is: 323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.89 : 551.83 = 234.10 : x
  2. Step 2: Convert to fraction form
    399.89/551.83 = 234.10/x
  3. Step 3: Cross multiply
    399.89x = 551.83 × 234.10
  4. Step 4: Simplify right side
    399.89x = 129,183.40
  5. Step 5: Solve for x
    x = 129,183.40/399.89
  6. Step 6: Final answer
    x = 323.05

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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.