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Finding the Fourth Proportional to 344.65, 475.46 and 226.63

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Solution

The fourth proportional to 344.65, 475.46 and 226.63 is: 312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.65 : 475.46 = 226.63 : x
  2. Step 2: Convert to fraction form
    344.65/475.46 = 226.63/x
  3. Step 3: Cross multiply
    344.65x = 475.46 × 226.63
  4. Step 4: Simplify right side
    344.65x = 107,753.50
  5. Step 5: Solve for x
    x = 107,753.50/344.65
  6. Step 6: Final answer
    x = 312.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.