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Finding the Fourth Proportional to 538.31, 742.87 and 341.82

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Solution

The fourth proportional to 538.31, 742.87 and 341.82 is: 471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.31 : 742.87 = 341.82 : x
  2. Step 2: Convert to fraction form
    538.31/742.87 = 341.82/x
  3. Step 3: Cross multiply
    538.31x = 742.87 × 341.82
  4. Step 4: Simplify right side
    538.31x = 253,928.25
  5. Step 5: Solve for x
    x = 253,928.25/538.31
  6. Step 6: Final answer
    x = 471.71

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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.