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Finding the Fourth Proportional to 344.89, 475.17 and 282.73

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Solution

The fourth proportional to 344.89, 475.17 and 282.73 is: 389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.89 : 475.17 = 282.73 : x
  2. Step 2: Convert to fraction form
    344.89/475.17 = 282.73/x
  3. Step 3: Cross multiply
    344.89x = 475.17 × 282.73
  4. Step 4: Simplify right side
    344.89x = 134,344.81
  5. Step 5: Solve for x
    x = 134,344.81/344.89
  6. Step 6: Final answer
    x = 389.53

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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.