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Finding the Fourth Proportional to 451.38, 623.20 and 327.46

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Solution

The fourth proportional to 451.38, 623.20 and 327.46 is: 452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.38 : 623.20 = 327.46 : x
  2. Step 2: Convert to fraction form
    451.38/623.20 = 327.46/x
  3. Step 3: Cross multiply
    451.38x = 623.20 × 327.46
  4. Step 4: Simplify right side
    451.38x = 204,073.07
  5. Step 5: Solve for x
    x = 204,073.07/451.38
  6. Step 6: Final answer
    x = 452.11

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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.