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Finding the Fourth Proportional to 353.57, 487.89 and 213.73

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Solution

The fourth proportional to 353.57, 487.89 and 213.73 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.57 : 487.89 = 213.73 : x
  2. Step 2: Convert to fraction form
    353.57/487.89 = 213.73/x
  3. Step 3: Cross multiply
    353.57x = 487.89 × 213.73
  4. Step 4: Simplify right side
    353.57x = 104,275.51
  5. Step 5: Solve for x
    x = 104,275.51/353.57
  6. Step 6: Final answer
    x = 294.93

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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.