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Finding the Fourth Proportional to 327.66, 452.07 and 262.14

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Solution

The fourth proportional to 327.66, 452.07 and 262.14 is: 361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.66 : 452.07 = 262.14 : x
  2. Step 2: Convert to fraction form
    327.66/452.07 = 262.14/x
  3. Step 3: Cross multiply
    327.66x = 452.07 × 262.14
  4. Step 4: Simplify right side
    327.66x = 118,505.63
  5. Step 5: Solve for x
    x = 118,505.63/327.66
  6. Step 6: Final answer
    x = 361.67

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Why These Related Problems?

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