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Finding the Fourth Proportional to 443.12, 611.82 and 296.01

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Solution

The fourth proportional to 443.12, 611.82 and 296.01 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.12 : 611.82 = 296.01 : x
  2. Step 2: Convert to fraction form
    443.12/611.82 = 296.01/x
  3. Step 3: Cross multiply
    443.12x = 611.82 × 296.01
  4. Step 4: Simplify right side
    443.12x = 181,104.84
  5. Step 5: Solve for x
    x = 181,104.84/443.12
  6. Step 6: Final answer
    x = 408.71

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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.