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Finding the Fourth Proportional to 371.91, 513.26 and 216.63

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Solution

The fourth proportional to 371.91, 513.26 and 216.63 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.91 : 513.26 = 216.63 : x
  2. Step 2: Convert to fraction form
    371.91/513.26 = 216.63/x
  3. Step 3: Cross multiply
    371.91x = 513.26 × 216.63
  4. Step 4: Simplify right side
    371.91x = 111,187.51
  5. Step 5: Solve for x
    x = 111,187.51/371.91
  6. Step 6: Final answer
    x = 298.96

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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.