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Finding the Fourth Proportional to 997.73, 1,496.09 and 304.23

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Solution

The fourth proportional to 997.73, 1,496.09 and 304.23 is: 456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.73 : 1,496.09 = 304.23 : x
  2. Step 2: Convert to fraction form
    997.73/1,496.09 = 304.23/x
  3. Step 3: Cross multiply
    997.73x = 1,496.09 × 304.23
  4. Step 4: Simplify right side
    997.73x = 455,155.46
  5. Step 5: Solve for x
    x = 455,155.46/997.73
  6. Step 6: Final answer
    x = 456.19

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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.