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Finding the Fourth Proportional to 611.88, 917.94 and 227.16

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Solution

The fourth proportional to 611.88, 917.94 and 227.16 is: 340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.88 : 917.94 = 227.16 : x
  2. Step 2: Convert to fraction form
    611.88/917.94 = 227.16/x
  3. Step 3: Cross multiply
    611.88x = 917.94 × 227.16
  4. Step 4: Simplify right side
    611.88x = 208,519.25
  5. Step 5: Solve for x
    x = 208,519.25/611.88
  6. Step 6: Final answer
    x = 340.78

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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.