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Finding the Fourth Proportional to 998.23, 1,497.36 and 304.91

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Solution

The fourth proportional to 998.23, 1,497.36 and 304.91 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.23 : 1,497.36 = 304.91 : x
  2. Step 2: Convert to fraction form
    998.23/1,497.36 = 304.91/x
  3. Step 3: Cross multiply
    998.23x = 1,497.36 × 304.91
  4. Step 4: Simplify right side
    998.23x = 456,560.04
  5. Step 5: Solve for x
    x = 456,560.04/998.23
  6. Step 6: Final answer
    x = 457.37

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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.