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Finding the Fourth Proportional to 998.03, 1,496.86 and 304.53

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Solution

The fourth proportional to 998.03, 1,496.86 and 304.53 is: 456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.03 : 1,496.86 = 304.53 : x
  2. Step 2: Convert to fraction form
    998.03/1,496.86 = 304.53/x
  3. Step 3: Cross multiply
    998.03x = 1,496.86 × 304.53
  4. Step 4: Simplify right side
    998.03x = 455,838.78
  5. Step 5: Solve for x
    x = 455,838.78/998.03
  6. Step 6: Final answer
    x = 456.74

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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.