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Finding the Fourth Proportional to 538.51, 742.98 and 372.46

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Solution

The fourth proportional to 538.51, 742.98 and 372.46 is: 513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.51 : 742.98 = 372.46 : x
  2. Step 2: Convert to fraction form
    538.51/742.98 = 372.46/x
  3. Step 3: Cross multiply
    538.51x = 742.98 × 372.46
  4. Step 4: Simplify right side
    538.51x = 276,730.33
  5. Step 5: Solve for x
    x = 276,730.33/538.51
  6. Step 6: Final answer
    x = 513.88

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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.