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Finding the Fourth Proportional to 538.74, 742.59 and 363.78

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Solution

The fourth proportional to 538.74, 742.59 and 363.78 is: 501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.74 : 742.59 = 363.78 : x
  2. Step 2: Convert to fraction form
    538.74/742.59 = 363.78/x
  3. Step 3: Cross multiply
    538.74x = 742.59 × 363.78
  4. Step 4: Simplify right side
    538.74x = 270,139.39
  5. Step 5: Solve for x
    x = 270,139.39/538.74
  6. Step 6: Final answer
    x = 501.43

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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.