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Finding the Fourth Proportional to 399.83, 551.97 and 269.06

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Solution

The fourth proportional to 399.83, 551.97 and 269.06 is: 371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.83 : 551.97 = 269.06 : x
  2. Step 2: Convert to fraction form
    399.83/551.97 = 269.06/x
  3. Step 3: Cross multiply
    399.83x = 551.97 × 269.06
  4. Step 4: Simplify right side
    399.83x = 148,513.05
  5. Step 5: Solve for x
    x = 148,513.05/399.83
  6. Step 6: Final answer
    x = 371.44

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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.