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Finding the Fourth Proportional to 321.26, 443.79 and 293.60

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Solution

The fourth proportional to 321.26, 443.79 and 293.60 is: 405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.26 : 443.79 = 293.60 : x
  2. Step 2: Convert to fraction form
    321.26/443.79 = 293.60/x
  3. Step 3: Cross multiply
    321.26x = 443.79 × 293.60
  4. Step 4: Simplify right side
    321.26x = 130,294.53
  5. Step 5: Solve for x
    x = 130,294.53/321.26
  6. Step 6: Final answer
    x = 405.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.