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Finding the Fourth Proportional to 997.80, 1,496.30 and 420.52

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Solution

The fourth proportional to 997.80, 1,496.30 and 420.52 is: 630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.80 : 1,496.30 = 420.52 : x
  2. Step 2: Convert to fraction form
    997.80/1,496.30 = 420.52/x
  3. Step 3: Cross multiply
    997.80x = 1,496.30 × 420.52
  4. Step 4: Simplify right side
    997.80x = 629,224.08
  5. Step 5: Solve for x
    x = 629,224.08/997.80
  6. Step 6: Final answer
    x = 630.61

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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.