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Finding the Fourth Proportional to 260.44, 389.97 and 214.99

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Solution

The fourth proportional to 260.44, 389.97 and 214.99 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.44 : 389.97 = 214.99 : x
  2. Step 2: Convert to fraction form
    260.44/389.97 = 214.99/x
  3. Step 3: Cross multiply
    260.44x = 389.97 × 214.99
  4. Step 4: Simplify right side
    260.44x = 83,839.33
  5. Step 5: Solve for x
    x = 83,839.33/260.44
  6. Step 6: Final answer
    x = 321.91

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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.