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Finding the Fourth Proportional to 364.92, 503.06 and 254.09

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Solution

The fourth proportional to 364.92, 503.06 and 254.09 is: 350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 503.06 = 254.09 : x
  2. Step 2: Convert to fraction form
    364.92/503.06 = 254.09/x
  3. Step 3: Cross multiply
    364.92x = 503.06 × 254.09
  4. Step 4: Simplify right side
    364.92x = 127,818.73
  5. Step 5: Solve for x
    x = 127,818.73/364.92
  6. Step 6: Final answer
    x = 350.27

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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.