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Finding the Fourth Proportional to 628.92, 943.76 and 321.12

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Solution

The fourth proportional to 628.92, 943.76 and 321.12 is: 481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.92 : 943.76 = 321.12 : x
  2. Step 2: Convert to fraction form
    628.92/943.76 = 321.12/x
  3. Step 3: Cross multiply
    628.92x = 943.76 × 321.12
  4. Step 4: Simplify right side
    628.92x = 303,060.21
  5. Step 5: Solve for x
    x = 303,060.21/628.92
  6. Step 6: Final answer
    x = 481.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.