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Finding the Fourth Proportional to 628.79, 943.34 and 217.82

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Solution

The fourth proportional to 628.79, 943.34 and 217.82 is: 326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.79 : 943.34 = 217.82 : x
  2. Step 2: Convert to fraction form
    628.79/943.34 = 217.82/x
  3. Step 3: Cross multiply
    628.79x = 943.34 × 217.82
  4. Step 4: Simplify right side
    628.79x = 205,472.51
  5. Step 5: Solve for x
    x = 205,472.51/628.79
  6. Step 6: Final answer
    x = 326.78

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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.