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Finding the Fourth Proportional to 997.50, 1,496.49 and 313.50

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Solution

The fourth proportional to 997.50, 1,496.49 and 313.50 is: 470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.50 : 1,496.49 = 313.50 : x
  2. Step 2: Convert to fraction form
    997.50/1,496.49 = 313.50/x
  3. Step 3: Cross multiply
    997.50x = 1,496.49 × 313.50
  4. Step 4: Simplify right side
    997.50x = 469,149.62
  5. Step 5: Solve for x
    x = 469,149.62/997.50
  6. Step 6: Final answer
    x = 470.33

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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.