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Finding the Fourth Proportional to 316.24, 436.44 and 227.76

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Solution

The fourth proportional to 316.24, 436.44 and 227.76 is: 314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.24 : 436.44 = 227.76 : x
  2. Step 2: Convert to fraction form
    316.24/436.44 = 227.76/x
  3. Step 3: Cross multiply
    316.24x = 436.44 × 227.76
  4. Step 4: Simplify right side
    316.24x = 99,403.57
  5. Step 5: Solve for x
    x = 99,403.57/316.24
  6. Step 6: Final answer
    x = 314.33

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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.