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Finding the Fourth Proportional to 365.24, 503.94 and 254.68

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Solution

The fourth proportional to 365.24, 503.94 and 254.68 is: 351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.24 : 503.94 = 254.68 : x
  2. Step 2: Convert to fraction form
    365.24/503.94 = 254.68/x
  3. Step 3: Cross multiply
    365.24x = 503.94 × 254.68
  4. Step 4: Simplify right side
    365.24x = 128,343.44
  5. Step 5: Solve for x
    x = 128,343.44/365.24
  6. Step 6: Final answer
    x = 351.39

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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.