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Finding the Fourth Proportional to 998.74, 1,498.19 and 305.47

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Solution

The fourth proportional to 998.74, 1,498.19 and 305.47 is: 458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.74 : 1,498.19 = 305.47 : x
  2. Step 2: Convert to fraction form
    998.74/1,498.19 = 305.47/x
  3. Step 3: Cross multiply
    998.74x = 1,498.19 × 305.47
  4. Step 4: Simplify right side
    998.74x = 457,646.83
  5. Step 5: Solve for x
    x = 457,646.83/998.74
  6. Step 6: Final answer
    x = 458.23

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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.