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Finding the Fourth Proportional to 998.09, 1,496.56 and 304.56

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Solution

The fourth proportional to 998.09, 1,496.56 and 304.56 is: 456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.09 : 1,496.56 = 304.56 : x
  2. Step 2: Convert to fraction form
    998.09/1,496.56 = 304.56/x
  3. Step 3: Cross multiply
    998.09x = 1,496.56 × 304.56
  4. Step 4: Simplify right side
    998.09x = 455,791.55
  5. Step 5: Solve for x
    x = 455,791.55/998.09
  6. Step 6: Final answer
    x = 456.67

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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.