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Finding the Fourth Proportional to 538.31, 742.84 and 338.91

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Solution

The fourth proportional to 538.31, 742.84 and 338.91 is: 467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.31 : 742.84 = 338.91 : x
  2. Step 2: Convert to fraction form
    538.31/742.84 = 338.91/x
  3. Step 3: Cross multiply
    538.31x = 742.84 × 338.91
  4. Step 4: Simplify right side
    538.31x = 251,755.90
  5. Step 5: Solve for x
    x = 251,755.90/538.31
  6. Step 6: Final answer
    x = 467.68

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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.