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Finding the Fourth Proportional to 559.98, 772.87 and 324.06

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Solution

The fourth proportional to 559.98, 772.87 and 324.06 is: 447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.98 : 772.87 = 324.06 : x
  2. Step 2: Convert to fraction form
    559.98/772.87 = 324.06/x
  3. Step 3: Cross multiply
    559.98x = 772.87 × 324.06
  4. Step 4: Simplify right side
    559.98x = 250,456.25
  5. Step 5: Solve for x
    x = 250,456.25/559.98
  6. Step 6: Final answer
    x = 447.26

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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.