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Finding the Fourth Proportional to 538.56, 743.34 and 342.36

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Solution

The fourth proportional to 538.56, 743.34 and 342.36 is: 472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 743.34 = 342.36 : x
  2. Step 2: Convert to fraction form
    538.56/743.34 = 342.36/x
  3. Step 3: Cross multiply
    538.56x = 743.34 × 342.36
  4. Step 4: Simplify right side
    538.56x = 254,489.88
  5. Step 5: Solve for x
    x = 254,489.88/538.56
  6. Step 6: Final answer
    x = 472.54

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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.