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Finding the Fourth Proportional to 538.31, 741.71 and 372.23

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Solution

The fourth proportional to 538.31, 741.71 and 372.23 is: 512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.31 : 741.71 = 372.23 : x
  2. Step 2: Convert to fraction form
    538.31/741.71 = 372.23/x
  3. Step 3: Cross multiply
    538.31x = 741.71 × 372.23
  4. Step 4: Simplify right side
    538.31x = 276,086.72
  5. Step 5: Solve for x
    x = 276,086.72/538.31
  6. Step 6: Final answer
    x = 512.87

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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.