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Finding the Fourth Proportional to 406.06, 559.65 and 323.44

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Solution

The fourth proportional to 406.06, 559.65 and 323.44 is: 445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.06 : 559.65 = 323.44 : x
  2. Step 2: Convert to fraction form
    406.06/559.65 = 323.44/x
  3. Step 3: Cross multiply
    406.06x = 559.65 × 323.44
  4. Step 4: Simplify right side
    406.06x = 181,013.20
  5. Step 5: Solve for x
    x = 181,013.20/406.06
  6. Step 6: Final answer
    x = 445.78

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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.