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Finding the Fourth Proportional to 305.44, 420.60 and 239.56

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Solution

The fourth proportional to 305.44, 420.60 and 239.56 is: 329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 420.60 = 239.56 : x
  2. Step 2: Convert to fraction form
    305.44/420.60 = 239.56/x
  3. Step 3: Cross multiply
    305.44x = 420.60 × 239.56
  4. Step 4: Simplify right side
    305.44x = 100,758.94
  5. Step 5: Solve for x
    x = 100,758.94/305.44
  6. Step 6: Final answer
    x = 329.88

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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.