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Finding the Fourth Proportional to 353.31, 487.67 and 213.41

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Solution

The fourth proportional to 353.31, 487.67 and 213.41 is: 294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.31 : 487.67 = 213.41 : x
  2. Step 2: Convert to fraction form
    353.31/487.67 = 213.41/x
  3. Step 3: Cross multiply
    353.31x = 487.67 × 213.41
  4. Step 4: Simplify right side
    353.31x = 104,070.15
  5. Step 5: Solve for x
    x = 104,070.15/353.31
  6. Step 6: Final answer
    x = 294.56

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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.