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Finding the Fourth Proportional to 427.12, 589.72 and 327.36

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Solution

The fourth proportional to 427.12, 589.72 and 327.36 is: 451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 589.72 = 327.36 : x
  2. Step 2: Convert to fraction form
    427.12/589.72 = 327.36/x
  3. Step 3: Cross multiply
    427.12x = 589.72 × 327.36
  4. Step 4: Simplify right side
    427.12x = 193,049.92
  5. Step 5: Solve for x
    x = 193,049.92/427.12
  6. Step 6: Final answer
    x = 451.98

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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.