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Finding the Fourth Proportional to 538.43, 743.07 and 305.57

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Solution

The fourth proportional to 538.43, 743.07 and 305.57 is: 421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.43 : 743.07 = 305.57 : x
  2. Step 2: Convert to fraction form
    538.43/743.07 = 305.57/x
  3. Step 3: Cross multiply
    538.43x = 743.07 × 305.57
  4. Step 4: Simplify right side
    538.43x = 227,059.90
  5. Step 5: Solve for x
    x = 227,059.90/538.43
  6. Step 6: Final answer
    x = 421.71

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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.