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Finding the Fourth Proportional to 422.86, 583.77 and 324.94

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Solution

The fourth proportional to 422.86, 583.77 and 324.94 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.86 : 583.77 = 324.94 : x
  2. Step 2: Convert to fraction form
    422.86/583.77 = 324.94/x
  3. Step 3: Cross multiply
    422.86x = 583.77 × 324.94
  4. Step 4: Simplify right side
    422.86x = 189,689.98
  5. Step 5: Solve for x
    x = 189,689.98/422.86
  6. Step 6: Final answer
    x = 448.59

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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.