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Finding the Fourth Proportional to 998.14, 1,497 and 381.84

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Solution

The fourth proportional to 998.14, 1,497 and 381.84 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.14 : 1,497 = 381.84 : x
  2. Step 2: Convert to fraction form
    998.14/1,497 = 381.84/x
  3. Step 3: Cross multiply
    998.14x = 1,497 × 381.84
  4. Step 4: Simplify right side
    998.14x = 571,614.48
  5. Step 5: Solve for x
    x = 571,614.48/998.14
  6. Step 6: Final answer
    x = 572.68

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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.