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Finding the Fourth Proportional to 352.56, 486.21 and 219.61

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Solution

The fourth proportional to 352.56, 486.21 and 219.61 is: 302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.56 : 486.21 = 219.61 : x
  2. Step 2: Convert to fraction form
    352.56/486.21 = 219.61/x
  3. Step 3: Cross multiply
    352.56x = 486.21 × 219.61
  4. Step 4: Simplify right side
    352.56x = 106,776.58
  5. Step 5: Solve for x
    x = 106,776.58/352.56
  6. Step 6: Final answer
    x = 302.86

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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.