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Finding the Fourth Proportional to 350.39, 483.80 and 226.13

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Solution

The fourth proportional to 350.39, 483.80 and 226.13 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.39 : 483.80 = 226.13 : x
  2. Step 2: Convert to fraction form
    350.39/483.80 = 226.13/x
  3. Step 3: Cross multiply
    350.39x = 483.80 × 226.13
  4. Step 4: Simplify right side
    350.39x = 109,399.28
  5. Step 5: Solve for x
    x = 109,399.28/350.39
  6. Step 6: Final answer
    x = 312.22

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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.