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Finding the Fourth Proportional to 997.68, 1,496.46 and 313.68

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Solution

The fourth proportional to 997.68, 1,496.46 and 313.68 is: 470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.68 : 1,496.46 = 313.68 : x
  2. Step 2: Convert to fraction form
    997.68/1,496.46 = 313.68/x
  3. Step 3: Cross multiply
    997.68x = 1,496.46 × 313.68
  4. Step 4: Simplify right side
    997.68x = 469,409.57
  5. Step 5: Solve for x
    x = 469,409.57/997.68
  6. Step 6: Final answer
    x = 470.50

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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.