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Finding the Fourth Proportional to 350.82, 484.25 and 226.71

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Solution

The fourth proportional to 350.82, 484.25 and 226.71 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.82 : 484.25 = 226.71 : x
  2. Step 2: Convert to fraction form
    350.82/484.25 = 226.71/x
  3. Step 3: Cross multiply
    350.82x = 484.25 × 226.71
  4. Step 4: Simplify right side
    350.82x = 109,783.18
  5. Step 5: Solve for x
    x = 109,783.18/350.82
  6. Step 6: Final answer
    x = 312.93

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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.