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Finding the Fourth Proportional to 353.53, 487.85 and 213.56

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Solution

The fourth proportional to 353.53, 487.85 and 213.56 is: 294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.53 : 487.85 = 213.56 : x
  2. Step 2: Convert to fraction form
    353.53/487.85 = 213.56/x
  3. Step 3: Cross multiply
    353.53x = 487.85 × 213.56
  4. Step 4: Simplify right side
    353.53x = 104,186.83
  5. Step 5: Solve for x
    x = 104,186.83/353.53
  6. Step 6: Final answer
    x = 294.70

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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.