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Finding the Fourth Proportional to 352.44, 486.14 and 217.80

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Solution

The fourth proportional to 352.44, 486.14 and 217.80 is: 300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.44 : 486.14 = 217.80 : x
  2. Step 2: Convert to fraction form
    352.44/486.14 = 217.80/x
  3. Step 3: Cross multiply
    352.44x = 486.14 × 217.80
  4. Step 4: Simplify right side
    352.44x = 105,880.20
  5. Step 5: Solve for x
    x = 105,880.20/352.44
  6. Step 6: Final answer
    x = 300.42

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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.