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Finding the Fourth Proportional to 441.22, 608.78 and 275.44

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Solution

The fourth proportional to 441.22, 608.78 and 275.44 is: 380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.22 : 608.78 = 275.44 : x
  2. Step 2: Convert to fraction form
    441.22/608.78 = 275.44/x
  3. Step 3: Cross multiply
    441.22x = 608.78 × 275.44
  4. Step 4: Simplify right side
    441.22x = 167,682.36
  5. Step 5: Solve for x
    x = 167,682.36/441.22
  6. Step 6: Final answer
    x = 380.04

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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.