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Finding the Fourth Proportional to 344.83, 475.81 and 204.95

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Solution

The fourth proportional to 344.83, 475.81 and 204.95 is: 282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.83 : 475.81 = 204.95 : x
  2. Step 2: Convert to fraction form
    344.83/475.81 = 204.95/x
  3. Step 3: Cross multiply
    344.83x = 475.81 × 204.95
  4. Step 4: Simplify right side
    344.83x = 97,517.26
  5. Step 5: Solve for x
    x = 97,517.26/344.83
  6. Step 6: Final answer
    x = 282.80

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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.