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Finding the Fourth Proportional to 294.44, 442.26 and 217.89

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Solution

The fourth proportional to 294.44, 442.26 and 217.89 is: 327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.44 : 442.26 = 217.89 : x
  2. Step 2: Convert to fraction form
    294.44/442.26 = 217.89/x
  3. Step 3: Cross multiply
    294.44x = 442.26 × 217.89
  4. Step 4: Simplify right side
    294.44x = 96,364.03
  5. Step 5: Solve for x
    x = 96,364.03/294.44
  6. Step 6: Final answer
    x = 327.28

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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.