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Finding the Fourth Proportional to 538.56, 742.80 and 363.87

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Solution

The fourth proportional to 538.56, 742.80 and 363.87 is: 501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 742.80 = 363.87 : x
  2. Step 2: Convert to fraction form
    538.56/742.80 = 363.87/x
  3. Step 3: Cross multiply
    538.56x = 742.80 × 363.87
  4. Step 4: Simplify right side
    538.56x = 270,282.64
  5. Step 5: Solve for x
    x = 270,282.64/538.56
  6. Step 6: Final answer
    x = 501.86

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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.