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Finding the Fourth Proportional to 422.61, 583.47 and 324.18

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Solution

The fourth proportional to 422.61, 583.47 and 324.18 is: 447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.61 : 583.47 = 324.18 : x
  2. Step 2: Convert to fraction form
    422.61/583.47 = 324.18/x
  3. Step 3: Cross multiply
    422.61x = 583.47 × 324.18
  4. Step 4: Simplify right side
    422.61x = 189,149.30
  5. Step 5: Solve for x
    x = 189,149.30/422.61
  6. Step 6: Final answer
    x = 447.57

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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.