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Finding the Fourth Proportional to 399.93, 551.84 and 234.15

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Solution

The fourth proportional to 399.93, 551.84 and 234.15 is: 323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.93 : 551.84 = 234.15 : x
  2. Step 2: Convert to fraction form
    399.93/551.84 = 234.15/x
  3. Step 3: Cross multiply
    399.93x = 551.84 × 234.15
  4. Step 4: Simplify right side
    399.93x = 129,212.17
  5. Step 5: Solve for x
    x = 129,212.17/399.93
  6. Step 6: Final answer
    x = 323.09

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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.