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Finding the Fourth Proportional to 321.43, 442.41 and 274.64

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Solution

The fourth proportional to 321.43, 442.41 and 274.64 is: 378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.43 : 442.41 = 274.64 : x
  2. Step 2: Convert to fraction form
    321.43/442.41 = 274.64/x
  3. Step 3: Cross multiply
    321.43x = 442.41 × 274.64
  4. Step 4: Simplify right side
    321.43x = 121,503.48
  5. Step 5: Solve for x
    x = 121,503.48/321.43
  6. Step 6: Final answer
    x = 378.02

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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.