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Finding the Fourth Proportional to 426.11, 587.71 and 321.22

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Solution

The fourth proportional to 426.11, 587.71 and 321.22 is: 443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.11 : 587.71 = 321.22 : x
  2. Step 2: Convert to fraction form
    426.11/587.71 = 321.22/x
  3. Step 3: Cross multiply
    426.11x = 587.71 × 321.22
  4. Step 4: Simplify right side
    426.11x = 188,780.23
  5. Step 5: Solve for x
    x = 188,780.23/426.11
  6. Step 6: Final answer
    x = 443.03

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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.