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Finding the Fourth Proportional to 282.69, 422.82 and 220.32

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Solution

The fourth proportional to 282.69, 422.82 and 220.32 is: 329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.69 : 422.82 = 220.32 : x
  2. Step 2: Convert to fraction form
    282.69/422.82 = 220.32/x
  3. Step 3: Cross multiply
    282.69x = 422.82 × 220.32
  4. Step 4: Simplify right side
    282.69x = 93,155.70
  5. Step 5: Solve for x
    x = 93,155.70/282.69
  6. Step 6: Final answer
    x = 329.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.