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Finding the Fourth Proportional to 350.43, 483.71 and 226.10

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Solution

The fourth proportional to 350.43, 483.71 and 226.10 is: 312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.43 : 483.71 = 226.10 : x
  2. Step 2: Convert to fraction form
    350.43/483.71 = 226.10/x
  3. Step 3: Cross multiply
    350.43x = 483.71 × 226.10
  4. Step 4: Simplify right side
    350.43x = 109,363.28
  5. Step 5: Solve for x
    x = 109,363.28/350.43
  6. Step 6: Final answer
    x = 312.08

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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.