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Finding the Fourth Proportional to 886.41, 1,329.63 and 270.22

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Solution

The fourth proportional to 886.41, 1,329.63 and 270.22 is: 405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.41 : 1,329.63 = 270.22 : x
  2. Step 2: Convert to fraction form
    886.41/1,329.63 = 270.22/x
  3. Step 3: Cross multiply
    886.41x = 1,329.63 × 270.22
  4. Step 4: Simplify right side
    886.41x = 359,285.97
  5. Step 5: Solve for x
    x = 359,285.97/886.41
  6. Step 6: Final answer
    x = 405.33

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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.