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Finding the Fourth Proportional to 327.16, 450.70 and 270.91

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Solution

The fourth proportional to 327.16, 450.70 and 270.91 is: 373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 450.70 = 270.91 : x
  2. Step 2: Convert to fraction form
    327.16/450.70 = 270.91/x
  3. Step 3: Cross multiply
    327.16x = 450.70 × 270.91
  4. Step 4: Simplify right side
    327.16x = 122,099.14
  5. Step 5: Solve for x
    x = 122,099.14/327.16
  6. Step 6: Final answer
    x = 373.21

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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.