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Finding the Fourth Proportional to 998.53, 1,498.41 and 382.30

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Solution

The fourth proportional to 998.53, 1,498.41 and 382.30 is: 573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.53 : 1,498.41 = 382.30 : x
  2. Step 2: Convert to fraction form
    998.53/1,498.41 = 382.30/x
  3. Step 3: Cross multiply
    998.53x = 1,498.41 × 382.30
  4. Step 4: Simplify right side
    998.53x = 572,842.14
  5. Step 5: Solve for x
    x = 572,842.14/998.53
  6. Step 6: Final answer
    x = 573.69

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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.