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Finding the Fourth Proportional to 998.42, 1,496.82 and 382.01

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Solution

The fourth proportional to 998.42, 1,496.82 and 382.01 is: 572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.42 : 1,496.82 = 382.01 : x
  2. Step 2: Convert to fraction form
    998.42/1,496.82 = 382.01/x
  3. Step 3: Cross multiply
    998.42x = 1,496.82 × 382.01
  4. Step 4: Simplify right side
    998.42x = 571,800.21
  5. Step 5: Solve for x
    x = 571,800.21/998.42
  6. Step 6: Final answer
    x = 572.71

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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.