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Finding the Fourth Proportional to 443.82, 611.92 and 286.18

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Solution

The fourth proportional to 443.82, 611.92 and 286.18 is: 394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.82 : 611.92 = 286.18 : x
  2. Step 2: Convert to fraction form
    443.82/611.92 = 286.18/x
  3. Step 3: Cross multiply
    443.82x = 611.92 × 286.18
  4. Step 4: Simplify right side
    443.82x = 175,119.27
  5. Step 5: Solve for x
    x = 175,119.27/443.82
  6. Step 6: Final answer
    x = 394.57

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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.