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Finding the Fourth Proportional to 443.88, 611.82 and 296.46

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Solution

The fourth proportional to 443.88, 611.82 and 296.46 is: 408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.88 : 611.82 = 296.46 : x
  2. Step 2: Convert to fraction form
    443.88/611.82 = 296.46/x
  3. Step 3: Cross multiply
    443.88x = 611.82 × 296.46
  4. Step 4: Simplify right side
    443.88x = 181,380.16
  5. Step 5: Solve for x
    x = 181,380.16/443.88
  6. Step 6: Final answer
    x = 408.62

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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.