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Finding the Fourth Proportional to 538.98, 743.46 and 371.22

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Solution

The fourth proportional to 538.98, 743.46 and 371.22 is: 512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.98 : 743.46 = 371.22 : x
  2. Step 2: Convert to fraction form
    538.98/743.46 = 371.22/x
  3. Step 3: Cross multiply
    538.98x = 743.46 × 371.22
  4. Step 4: Simplify right side
    538.98x = 275,987.22
  5. Step 5: Solve for x
    x = 275,987.22/538.98
  6. Step 6: Final answer
    x = 512.05

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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.