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Finding the Fourth Proportional to 295.96, 443.30 and 214.62

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Solution

The fourth proportional to 295.96, 443.30 and 214.62 is: 321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.96 : 443.30 = 214.62 : x
  2. Step 2: Convert to fraction form
    295.96/443.30 = 214.62/x
  3. Step 3: Cross multiply
    295.96x = 443.30 × 214.62
  4. Step 4: Simplify right side
    295.96x = 95,141.05
  5. Step 5: Solve for x
    x = 95,141.05/295.96
  6. Step 6: Final answer
    x = 321.47

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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.