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Finding the Fourth Proportional to 538.14, 742.86 and 363.72

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Solution

The fourth proportional to 538.14, 742.86 and 363.72 is: 502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 742.86 = 363.72 : x
  2. Step 2: Convert to fraction form
    538.14/742.86 = 363.72/x
  3. Step 3: Cross multiply
    538.14x = 742.86 × 363.72
  4. Step 4: Simplify right side
    538.14x = 270,193.04
  5. Step 5: Solve for x
    x = 270,193.04/538.14
  6. Step 6: Final answer
    x = 502.09

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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.