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Finding the Fourth Proportional to 335.12, 461.44 and 293.44

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Solution

The fourth proportional to 335.12, 461.44 and 293.44 is: 404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.12 : 461.44 = 293.44 : x
  2. Step 2: Convert to fraction form
    335.12/461.44 = 293.44/x
  3. Step 3: Cross multiply
    335.12x = 461.44 × 293.44
  4. Step 4: Simplify right side
    335.12x = 135,404.95
  5. Step 5: Solve for x
    x = 135,404.95/335.12
  6. Step 6: Final answer
    x = 404.05

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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.