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Finding the Fourth Proportional to 997.82, 1,496.78 and 304.54

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Solution

The fourth proportional to 997.82, 1,496.78 and 304.54 is: 456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.82 : 1,496.78 = 304.54 : x
  2. Step 2: Convert to fraction form
    997.82/1,496.78 = 304.54/x
  3. Step 3: Cross multiply
    997.82x = 1,496.78 × 304.54
  4. Step 4: Simplify right side
    997.82x = 455,829.38
  5. Step 5: Solve for x
    x = 455,829.38/997.82
  6. Step 6: Final answer
    x = 456.83

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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.