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Finding the Fourth Proportional to 998.43, 1,497.93 and 349.21

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Solution

The fourth proportional to 998.43, 1,497.93 and 349.21 is: 523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.43 : 1,497.93 = 349.21 : x
  2. Step 2: Convert to fraction form
    998.43/1,497.93 = 349.21/x
  3. Step 3: Cross multiply
    998.43x = 1,497.93 × 349.21
  4. Step 4: Simplify right side
    998.43x = 523,092.14
  5. Step 5: Solve for x
    x = 523,092.14/998.43
  6. Step 6: Final answer
    x = 523.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.