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Finding the Fourth Proportional to 350.75, 484.17 and 212.75

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Solution

The fourth proportional to 350.75, 484.17 and 212.75 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.75 : 484.17 = 212.75 : x
  2. Step 2: Convert to fraction form
    350.75/484.17 = 212.75/x
  3. Step 3: Cross multiply
    350.75x = 484.17 × 212.75
  4. Step 4: Simplify right side
    350.75x = 103,007.17
  5. Step 5: Solve for x
    x = 103,007.17/350.75
  6. Step 6: Final answer
    x = 293.68

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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.