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Finding the Fourth Proportional to 321.98, 443.98 and 314.43

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Solution

The fourth proportional to 321.98, 443.98 and 314.43 is: 433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.98 : 443.98 = 314.43 : x
  2. Step 2: Convert to fraction form
    321.98/443.98 = 314.43/x
  3. Step 3: Cross multiply
    321.98x = 443.98 × 314.43
  4. Step 4: Simplify right side
    321.98x = 139,601.86
  5. Step 5: Solve for x
    x = 139,601.86/321.98
  6. Step 6: Final answer
    x = 433.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.