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Finding the Fourth Proportional to 891.22, 1,336.45 and 313.96

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Solution

The fourth proportional to 891.22, 1,336.45 and 313.96 is: 470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.22 : 1,336.45 = 313.96 : x
  2. Step 2: Convert to fraction form
    891.22/1,336.45 = 313.96/x
  3. Step 3: Cross multiply
    891.22x = 1,336.45 × 313.96
  4. Step 4: Simplify right side
    891.22x = 419,591.84
  5. Step 5: Solve for x
    x = 419,591.84/891.22
  6. Step 6: Final answer
    x = 470.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.