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Finding the Fourth Proportional to 344.62, 475.66 and 234.14

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Solution

The fourth proportional to 344.62, 475.66 and 234.14 is: 323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.62 : 475.66 = 234.14 : x
  2. Step 2: Convert to fraction form
    344.62/475.66 = 234.14/x
  3. Step 3: Cross multiply
    344.62x = 475.66 × 234.14
  4. Step 4: Simplify right side
    344.62x = 111,370.31
  5. Step 5: Solve for x
    x = 111,370.31/344.62
  6. Step 6: Final answer
    x = 323.17

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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.