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Finding the Fourth Proportional to 321.77, 444.09 and 238.76

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Solution

The fourth proportional to 321.77, 444.09 and 238.76 is: 329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.77 : 444.09 = 238.76 : x
  2. Step 2: Convert to fraction form
    321.77/444.09 = 238.76/x
  3. Step 3: Cross multiply
    321.77x = 444.09 × 238.76
  4. Step 4: Simplify right side
    321.77x = 106,030.93
  5. Step 5: Solve for x
    x = 106,030.93/321.77
  6. Step 6: Final answer
    x = 329.52

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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.