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Finding the Fourth Proportional to 628.34, 866.82 and 379.56

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Solution

The fourth proportional to 628.34, 866.82 and 379.56 is: 523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.34 : 866.82 = 379.56 : x
  2. Step 2: Convert to fraction form
    628.34/866.82 = 379.56/x
  3. Step 3: Cross multiply
    628.34x = 866.82 × 379.56
  4. Step 4: Simplify right side
    628.34x = 329,010.20
  5. Step 5: Solve for x
    x = 329,010.20/628.34
  6. Step 6: Final answer
    x = 523.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.