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Finding the Fourth Proportional to 351.09, 484.63 and 227.09

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Solution

The fourth proportional to 351.09, 484.63 and 227.09 is: 313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.09 : 484.63 = 227.09 : x
  2. Step 2: Convert to fraction form
    351.09/484.63 = 227.09/x
  3. Step 3: Cross multiply
    351.09x = 484.63 × 227.09
  4. Step 4: Simplify right side
    351.09x = 110,054.63
  5. Step 5: Solve for x
    x = 110,054.63/351.09
  6. Step 6: Final answer
    x = 313.47

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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.