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Finding the Fourth Proportional to 327.86, 453.30 and 290.84

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Solution

The fourth proportional to 327.86, 453.30 and 290.84 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.86 : 453.30 = 290.84 : x
  2. Step 2: Convert to fraction form
    327.86/453.30 = 290.84/x
  3. Step 3: Cross multiply
    327.86x = 453.30 × 290.84
  4. Step 4: Simplify right side
    327.86x = 131,837.77
  5. Step 5: Solve for x
    x = 131,837.77/327.86
  6. Step 6: Final answer
    x = 402.12

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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.