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Finding the Fourth Proportional to 513.99, 709.22 and 324.83

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Solution

The fourth proportional to 513.99, 709.22 and 324.83 is: 448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.99 : 709.22 = 324.83 : x
  2. Step 2: Convert to fraction form
    513.99/709.22 = 324.83/x
  3. Step 3: Cross multiply
    513.99x = 709.22 × 324.83
  4. Step 4: Simplify right side
    513.99x = 230,375.93
  5. Step 5: Solve for x
    x = 230,375.93/513.99
  6. Step 6: Final answer
    x = 448.21

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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.