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Finding the Fourth Proportional to 344.45, 475.22 and 204.58

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Solution

The fourth proportional to 344.45, 475.22 and 204.58 is: 282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.45 : 475.22 = 204.58 : x
  2. Step 2: Convert to fraction form
    344.45/475.22 = 204.58/x
  3. Step 3: Cross multiply
    344.45x = 475.22 × 204.58
  4. Step 4: Simplify right side
    344.45x = 97,217.79
  5. Step 5: Solve for x
    x = 97,217.79/344.45
  6. Step 6: Final answer
    x = 282.24

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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.