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Finding the Fourth Proportional to 538.79, 743.05 and 364.37

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Solution

The fourth proportional to 538.79, 743.05 and 364.37 is: 502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.79 : 743.05 = 364.37 : x
  2. Step 2: Convert to fraction form
    538.79/743.05 = 364.37/x
  3. Step 3: Cross multiply
    538.79x = 743.05 × 364.37
  4. Step 4: Simplify right side
    538.79x = 270,745.13
  5. Step 5: Solve for x
    x = 270,745.13/538.79
  6. Step 6: Final answer
    x = 502.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.