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Finding the Fourth Proportional to 344.31, 475.07 and 204.49

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Solution

The fourth proportional to 344.31, 475.07 and 204.49 is: 282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.31 : 475.07 = 204.49 : x
  2. Step 2: Convert to fraction form
    344.31/475.07 = 204.49/x
  3. Step 3: Cross multiply
    344.31x = 475.07 × 204.49
  4. Step 4: Simplify right side
    344.31x = 97,147.06
  5. Step 5: Solve for x
    x = 97,147.06/344.31
  6. Step 6: Final answer
    x = 282.15

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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.