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Finding the Fourth Proportional to 441.06, 607.97 and 293.44

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Solution

The fourth proportional to 441.06, 607.97 and 293.44 is: 404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.06 : 607.97 = 293.44 : x
  2. Step 2: Convert to fraction form
    441.06/607.97 = 293.44/x
  3. Step 3: Cross multiply
    441.06x = 607.97 × 293.44
  4. Step 4: Simplify right side
    441.06x = 178,402.72
  5. Step 5: Solve for x
    x = 178,402.72/441.06
  6. Step 6: Final answer
    x = 404.49

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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.