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Finding the Fourth Proportional to 443.51, 611.96 and 296.33

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Solution

The fourth proportional to 443.51, 611.96 and 296.33 is: 408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.51 : 611.96 = 296.33 : x
  2. Step 2: Convert to fraction form
    443.51/611.96 = 296.33/x
  3. Step 3: Cross multiply
    443.51x = 611.96 × 296.33
  4. Step 4: Simplify right side
    443.51x = 181,337.57
  5. Step 5: Solve for x
    x = 181,337.57/443.51
  6. Step 6: Final answer
    x = 408.87

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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.