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Finding the Fourth Proportional to 404.22, 557.92 and 249.06

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Solution

The fourth proportional to 404.22, 557.92 and 249.06 is: 343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.22 : 557.92 = 249.06 : x
  2. Step 2: Convert to fraction form
    404.22/557.92 = 249.06/x
  3. Step 3: Cross multiply
    404.22x = 557.92 × 249.06
  4. Step 4: Simplify right side
    404.22x = 138,955.56
  5. Step 5: Solve for x
    x = 138,955.56/404.22
  6. Step 6: Final answer
    x = 343.76

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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.