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Finding the Fourth Proportional to 538.86, 743.67 and 364.14

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Solution

The fourth proportional to 538.86, 743.67 and 364.14 is: 502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 743.67 = 364.14 : x
  2. Step 2: Convert to fraction form
    538.86/743.67 = 364.14/x
  3. Step 3: Cross multiply
    538.86x = 743.67 × 364.14
  4. Step 4: Simplify right side
    538.86x = 270,799.99
  5. Step 5: Solve for x
    x = 270,799.99/538.86
  6. Step 6: Final answer
    x = 502.54

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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.