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Finding the Fourth Proportional to 405.92, 559.52 and 327.02

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Solution

The fourth proportional to 405.92, 559.52 and 327.02 is: 450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.92 : 559.52 = 327.02 : x
  2. Step 2: Convert to fraction form
    405.92/559.52 = 327.02/x
  3. Step 3: Cross multiply
    405.92x = 559.52 × 327.02
  4. Step 4: Simplify right side
    405.92x = 182,974.23
  5. Step 5: Solve for x
    x = 182,974.23/405.92
  6. Step 6: Final answer
    x = 450.76

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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.