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Finding the Fourth Proportional to 405.81, 559.31 and 323.19

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Solution

The fourth proportional to 405.81, 559.31 and 323.19 is: 445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.81 : 559.31 = 323.19 : x
  2. Step 2: Convert to fraction form
    405.81/559.31 = 323.19/x
  3. Step 3: Cross multiply
    405.81x = 559.31 × 323.19
  4. Step 4: Simplify right side
    405.81x = 180,761.78
  5. Step 5: Solve for x
    x = 180,761.78/405.81
  6. Step 6: Final answer
    x = 445.43

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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.