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Finding the Fourth Proportional to 998.52, 1,498.02 and 305.20

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Solution

The fourth proportional to 998.52, 1,498.02 and 305.20 is: 457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.52 : 1,498.02 = 305.20 : x
  2. Step 2: Convert to fraction form
    998.52/1,498.02 = 305.20/x
  3. Step 3: Cross multiply
    998.52x = 1,498.02 × 305.20
  4. Step 4: Simplify right side
    998.52x = 457,195.70
  5. Step 5: Solve for x
    x = 457,195.70/998.52
  6. Step 6: Final answer
    x = 457.87

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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.