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Finding the Fourth Proportional to 321.17, 443.68 and 275.06

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Solution

The fourth proportional to 321.17, 443.68 and 275.06 is: 379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.17 : 443.68 = 275.06 : x
  2. Step 2: Convert to fraction form
    321.17/443.68 = 275.06/x
  3. Step 3: Cross multiply
    321.17x = 443.68 × 275.06
  4. Step 4: Simplify right side
    321.17x = 122,039.04
  5. Step 5: Solve for x
    x = 122,039.04/321.17
  6. Step 6: Final answer
    x = 379.99

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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.