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Finding the Fourth Proportional to 365.09, 502.94 and 254.39

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Solution

The fourth proportional to 365.09, 502.94 and 254.39 is: 350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.09 : 502.94 = 254.39 : x
  2. Step 2: Convert to fraction form
    365.09/502.94 = 254.39/x
  3. Step 3: Cross multiply
    365.09x = 502.94 × 254.39
  4. Step 4: Simplify right side
    365.09x = 127,941.03
  5. Step 5: Solve for x
    x = 127,941.03/365.09
  6. Step 6: Final answer
    x = 350.44

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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.