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Finding the Fourth Proportional to 316.40, 435.98 and 227.80

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Solution

The fourth proportional to 316.40, 435.98 and 227.80 is: 313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.40 : 435.98 = 227.80 : x
  2. Step 2: Convert to fraction form
    316.40/435.98 = 227.80/x
  3. Step 3: Cross multiply
    316.40x = 435.98 × 227.80
  4. Step 4: Simplify right side
    316.40x = 99,312.93
  5. Step 5: Solve for x
    x = 99,312.93/316.40
  6. Step 6: Final answer
    x = 313.88

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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.