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Finding the Fourth Proportional to 327.41, 488.24 and 320.39

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Solution

The fourth proportional to 327.41, 488.24 and 320.39 is: 477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.41 : 488.24 = 320.39 : x
  2. Step 2: Convert to fraction form
    327.41/488.24 = 320.39/x
  3. Step 3: Cross multiply
    327.41x = 488.24 × 320.39
  4. Step 4: Simplify right side
    327.41x = 156,425.57
  5. Step 5: Solve for x
    x = 156,425.57/327.41
  6. Step 6: Final answer
    x = 477.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.