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Finding the Fourth Proportional to 344.91, 475.94 and 205.04

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Solution

The fourth proportional to 344.91, 475.94 and 205.04 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.91 : 475.94 = 205.04 : x
  2. Step 2: Convert to fraction form
    344.91/475.94 = 205.04/x
  3. Step 3: Cross multiply
    344.91x = 475.94 × 205.04
  4. Step 4: Simplify right side
    344.91x = 97,584.99
  5. Step 5: Solve for x
    x = 97,584.99/344.91
  6. Step 6: Final answer
    x = 282.93

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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.