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Finding the Fourth Proportional to 350.93, 484.20 and 226.44

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Solution

The fourth proportional to 350.93, 484.20 and 226.44 is: 312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.93 : 484.20 = 226.44 : x
  2. Step 2: Convert to fraction form
    350.93/484.20 = 226.44/x
  3. Step 3: Cross multiply
    350.93x = 484.20 × 226.44
  4. Step 4: Simplify right side
    350.93x = 109,642.25
  5. Step 5: Solve for x
    x = 109,642.25/350.93
  6. Step 6: Final answer
    x = 312.43

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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.