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Finding the Fourth Proportional to 366.43, 505.80 and 226.65

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Solution

The fourth proportional to 366.43, 505.80 and 226.65 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.43 : 505.80 = 226.65 : x
  2. Step 2: Convert to fraction form
    366.43/505.80 = 226.65/x
  3. Step 3: Cross multiply
    366.43x = 505.80 × 226.65
  4. Step 4: Simplify right side
    366.43x = 114,638.44
  5. Step 5: Solve for x
    x = 114,638.44/366.43
  6. Step 6: Final answer
    x = 312.86

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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.