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Finding the Fourth Proportional to 628.74, 943.24 and 217.76

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Solution

The fourth proportional to 628.74, 943.24 and 217.76 is: 326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.74 : 943.24 = 217.76 : x
  2. Step 2: Convert to fraction form
    628.74/943.24 = 217.76/x
  3. Step 3: Cross multiply
    628.74x = 943.24 × 217.76
  4. Step 4: Simplify right side
    628.74x = 205,399.94
  5. Step 5: Solve for x
    x = 205,399.94/628.74
  6. Step 6: Final answer
    x = 326.69

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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.