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Finding the Fourth Proportional to 344.75, 476.14 and 234.03

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Solution

The fourth proportional to 344.75, 476.14 and 234.03 is: 323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.75 : 476.14 = 234.03 : x
  2. Step 2: Convert to fraction form
    344.75/476.14 = 234.03/x
  3. Step 3: Cross multiply
    344.75x = 476.14 × 234.03
  4. Step 4: Simplify right side
    344.75x = 111,430.46
  5. Step 5: Solve for x
    x = 111,430.46/344.75
  6. Step 6: Final answer
    x = 323.22

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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.