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Finding the Fourth Proportional to 321.98, 442.67 and 320.02

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Solution

The fourth proportional to 321.98, 442.67 and 320.02 is: 439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.98 : 442.67 = 320.02 : x
  2. Step 2: Convert to fraction form
    321.98/442.67 = 320.02/x
  3. Step 3: Cross multiply
    321.98x = 442.67 × 320.02
  4. Step 4: Simplify right side
    321.98x = 141,660.55
  5. Step 5: Solve for x
    x = 141,660.55/321.98
  6. Step 6: Final answer
    x = 439.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.