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Finding the Fourth Proportional to 886.09, 1,329.16 and 308.97

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Solution

The fourth proportional to 886.09, 1,329.16 and 308.97 is: 463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.09 : 1,329.16 = 308.97 : x
  2. Step 2: Convert to fraction form
    886.09/1,329.16 = 308.97/x
  3. Step 3: Cross multiply
    886.09x = 1,329.16 × 308.97
  4. Step 4: Simplify right side
    886.09x = 410,670.57
  5. Step 5: Solve for x
    x = 410,670.57/886.09
  6. Step 6: Final answer
    x = 463.46

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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.