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Finding the Fourth Proportional to 351.76, 485.63 and 219.03

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Solution

The fourth proportional to 351.76, 485.63 and 219.03 is: 302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.76 : 485.63 = 219.03 : x
  2. Step 2: Convert to fraction form
    351.76/485.63 = 219.03/x
  3. Step 3: Cross multiply
    351.76x = 485.63 × 219.03
  4. Step 4: Simplify right side
    351.76x = 106,367.54
  5. Step 5: Solve for x
    x = 106,367.54/351.76
  6. Step 6: Final answer
    x = 302.39

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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.