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Finding the Fourth Proportional to 352.85, 486.56 and 212.94

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Solution

The fourth proportional to 352.85, 486.56 and 212.94 is: 293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.85 : 486.56 = 212.94 : x
  2. Step 2: Convert to fraction form
    352.85/486.56 = 212.94/x
  3. Step 3: Cross multiply
    352.85x = 486.56 × 212.94
  4. Step 4: Simplify right side
    352.85x = 103,608.62
  5. Step 5: Solve for x
    x = 103,608.62/352.85
  6. Step 6: Final answer
    x = 293.64

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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.