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Finding the Fourth Proportional to 293.22, 442.03 and 273.41

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Solution

The fourth proportional to 293.22, 442.03 and 273.41 is: 412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.22 : 442.03 = 273.41 : x
  2. Step 2: Convert to fraction form
    293.22/442.03 = 273.41/x
  3. Step 3: Cross multiply
    293.22x = 442.03 × 273.41
  4. Step 4: Simplify right side
    293.22x = 120,853.21
  5. Step 5: Solve for x
    x = 120,853.21/293.22
  6. Step 6: Final answer
    x = 412.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.