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Finding the Fourth Proportional to 416.99, 575.89 and 324.83

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Solution

The fourth proportional to 416.99, 575.89 and 324.83 is: 448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.99 : 575.89 = 324.83 : x
  2. Step 2: Convert to fraction form
    416.99/575.89 = 324.83/x
  3. Step 3: Cross multiply
    416.99x = 575.89 × 324.83
  4. Step 4: Simplify right side
    416.99x = 187,066.98
  5. Step 5: Solve for x
    x = 187,066.98/416.99
  6. Step 6: Final answer
    x = 448.61

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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.