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Finding the Fourth Proportional to 538.53, 743.84 and 408.12

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Solution

The fourth proportional to 538.53, 743.84 and 408.12 is: 563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.53 : 743.84 = 408.12 : x
  2. Step 2: Convert to fraction form
    538.53/743.84 = 408.12/x
  3. Step 3: Cross multiply
    538.53x = 743.84 × 408.12
  4. Step 4: Simplify right side
    538.53x = 303,573.94
  5. Step 5: Solve for x
    x = 303,573.94/538.53
  6. Step 6: Final answer
    x = 563.71

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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.