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Finding the Fourth Proportional to 322.86, 445.68 and 271.02

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Solution

The fourth proportional to 322.86, 445.68 and 271.02 is: 374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.86 : 445.68 = 271.02 : x
  2. Step 2: Convert to fraction form
    322.86/445.68 = 271.02/x
  3. Step 3: Cross multiply
    322.86x = 445.68 × 271.02
  4. Step 4: Simplify right side
    322.86x = 120,788.19
  5. Step 5: Solve for x
    x = 120,788.19/322.86
  6. Step 6: Final answer
    x = 374.12

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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.