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Finding the Fourth Proportional to 344.75, 475.61 and 204.84

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Solution

The fourth proportional to 344.75, 475.61 and 204.84 is: 282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.75 : 475.61 = 204.84 : x
  2. Step 2: Convert to fraction form
    344.75/475.61 = 204.84/x
  3. Step 3: Cross multiply
    344.75x = 475.61 × 204.84
  4. Step 4: Simplify right side
    344.75x = 97,422.93
  5. Step 5: Solve for x
    x = 97,422.93/344.75
  6. Step 6: Final answer
    x = 282.59

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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.