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Finding the Fourth Proportional to 321.90, 444.46 and 239.20

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Solution

The fourth proportional to 321.90, 444.46 and 239.20 is: 330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.90 : 444.46 = 239.20 : x
  2. Step 2: Convert to fraction form
    321.90/444.46 = 239.20/x
  3. Step 3: Cross multiply
    321.90x = 444.46 × 239.20
  4. Step 4: Simplify right side
    321.90x = 106,316.74
  5. Step 5: Solve for x
    x = 106,316.74/321.90
  6. Step 6: Final answer
    x = 330.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.