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Finding the Fourth Proportional to 321.90, 444.08 and 309.48

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Solution

The fourth proportional to 321.90, 444.08 and 309.48 is: 426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.90 : 444.08 = 309.48 : x
  2. Step 2: Convert to fraction form
    321.90/444.08 = 309.48/x
  3. Step 3: Cross multiply
    321.90x = 444.08 × 309.48
  4. Step 4: Simplify right side
    321.90x = 137,433.88
  5. Step 5: Solve for x
    x = 137,433.88/321.90
  6. Step 6: Final answer
    x = 426.95

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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.