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Finding the Fourth Proportional to 327.41, 452.45 and 234.47

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Solution

The fourth proportional to 327.41, 452.45 and 234.47 is: 324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.41 : 452.45 = 234.47 : x
  2. Step 2: Convert to fraction form
    327.41/452.45 = 234.47/x
  3. Step 3: Cross multiply
    327.41x = 452.45 × 234.47
  4. Step 4: Simplify right side
    327.41x = 106,082.52
  5. Step 5: Solve for x
    x = 106,082.52/327.41
  6. Step 6: Final answer
    x = 324.01

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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.