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Finding the Fourth Proportional to 891.91, 1,338.05 and 306.89

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Solution

The fourth proportional to 891.91, 1,338.05 and 306.89 is: 460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.91 : 1,338.05 = 306.89 : x
  2. Step 2: Convert to fraction form
    891.91/1,338.05 = 306.89/x
  3. Step 3: Cross multiply
    891.91x = 1,338.05 × 306.89
  4. Step 4: Simplify right side
    891.91x = 410,633.26
  5. Step 5: Solve for x
    x = 410,633.26/891.91
  6. Step 6: Final answer
    x = 460.40

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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.