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Finding the Fourth Proportional to 443.22, 611.02 and 295.80

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Solution

The fourth proportional to 443.22, 611.02 and 295.80 is: 407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.22 : 611.02 = 295.80 : x
  2. Step 2: Convert to fraction form
    443.22/611.02 = 295.80/x
  3. Step 3: Cross multiply
    443.22x = 611.02 × 295.80
  4. Step 4: Simplify right side
    443.22x = 180,739.72
  5. Step 5: Solve for x
    x = 180,739.72/443.22
  6. Step 6: Final answer
    x = 407.79

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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.