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Finding the Fourth Proportional to 998.23, 1,497.31 and 348.95

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Solution

The fourth proportional to 998.23, 1,497.31 and 348.95 is: 523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.23 : 1,497.31 = 348.95 : x
  2. Step 2: Convert to fraction form
    998.23/1,497.31 = 348.95/x
  3. Step 3: Cross multiply
    998.23x = 1,497.31 × 348.95
  4. Step 4: Simplify right side
    998.23x = 522,477.97
  5. Step 5: Solve for x
    x = 522,477.97/998.23
  6. Step 6: Final answer
    x = 523.41

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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.