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Finding the Fourth Proportional to 427.00, 589.55 and 327.24

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Solution

The fourth proportional to 427.00, 589.55 and 327.24 is: 451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.00 : 589.55 = 327.24 : x
  2. Step 2: Convert to fraction form
    427.00/589.55 = 327.24/x
  3. Step 3: Cross multiply
    427.00x = 589.55 × 327.24
  4. Step 4: Simplify right side
    427.00x = 192,919.76
  5. Step 5: Solve for x
    x = 192,919.76/427.00
  6. Step 6: Final answer
    x = 451.81

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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.