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Finding the Fourth Proportional to 344.92, 475.72 and 234.24

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Solution

The fourth proportional to 344.92, 475.72 and 234.24 is: 323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.92 : 475.72 = 234.24 : x
  2. Step 2: Convert to fraction form
    344.92/475.72 = 234.24/x
  3. Step 3: Cross multiply
    344.92x = 475.72 × 234.24
  4. Step 4: Simplify right side
    344.92x = 111,432.65
  5. Step 5: Solve for x
    x = 111,432.65/344.92
  6. Step 6: Final answer
    x = 323.07

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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.