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Finding the Fourth Proportional to 422.84, 584.28 and 329.82

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Solution

The fourth proportional to 422.84, 584.28 and 329.82 is: 455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.84 : 584.28 = 329.82 : x
  2. Step 2: Convert to fraction form
    422.84/584.28 = 329.82/x
  3. Step 3: Cross multiply
    422.84x = 584.28 × 329.82
  4. Step 4: Simplify right side
    422.84x = 192,707.23
  5. Step 5: Solve for x
    x = 192,707.23/422.84
  6. Step 6: Final answer
    x = 455.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.