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Finding the Fourth Proportional to 441.26, 608.76 and 283.84

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Solution

The fourth proportional to 441.26, 608.76 and 283.84 is: 391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.26 : 608.76 = 283.84 : x
  2. Step 2: Convert to fraction form
    441.26/608.76 = 283.84/x
  3. Step 3: Cross multiply
    441.26x = 608.76 × 283.84
  4. Step 4: Simplify right side
    441.26x = 172,790.44
  5. Step 5: Solve for x
    x = 172,790.44/441.26
  6. Step 6: Final answer
    x = 391.58

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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.