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Finding the Fourth Proportional to 891.31, 1,336.91 and 314.11

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Solution

The fourth proportional to 891.31, 1,336.91 and 314.11 is: 471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.31 : 1,336.91 = 314.11 : x
  2. Step 2: Convert to fraction form
    891.31/1,336.91 = 314.11/x
  3. Step 3: Cross multiply
    891.31x = 1,336.91 × 314.11
  4. Step 4: Simplify right side
    891.31x = 419,935.23
  5. Step 5: Solve for x
    x = 419,935.23/891.31
  6. Step 6: Final answer
    x = 471.14

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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.