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Finding the Fourth Proportional to 998.30, 1,496.64 and 349.49

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Solution

The fourth proportional to 998.30, 1,496.64 and 349.49 is: 523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.30 : 1,496.64 = 349.49 : x
  2. Step 2: Convert to fraction form
    998.30/1,496.64 = 349.49/x
  3. Step 3: Cross multiply
    998.30x = 1,496.64 × 349.49
  4. Step 4: Simplify right side
    998.30x = 523,060.71
  5. Step 5: Solve for x
    x = 523,060.71/998.30
  6. Step 6: Final answer
    x = 523.95

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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.