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Finding the Fourth Proportional to 998.36, 1,496.23 and 442.88

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Solution

The fourth proportional to 998.36, 1,496.23 and 442.88 is: 663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.36 : 1,496.23 = 442.88 : x
  2. Step 2: Convert to fraction form
    998.36/1,496.23 = 442.88/x
  3. Step 3: Cross multiply
    998.36x = 1,496.23 × 442.88
  4. Step 4: Simplify right side
    998.36x = 662,652.58
  5. Step 5: Solve for x
    x = 662,652.58/998.36
  6. Step 6: Final answer
    x = 663.74

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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.