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Finding the Fourth Proportional to 326.25, 486.92 and 289.26

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Solution

The fourth proportional to 326.25, 486.92 and 289.26 is: 431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.25 : 486.92 = 289.26 : x
  2. Step 2: Convert to fraction form
    326.25/486.92 = 289.26/x
  3. Step 3: Cross multiply
    326.25x = 486.92 × 289.26
  4. Step 4: Simplify right side
    326.25x = 140,847.20
  5. Step 5: Solve for x
    x = 140,847.20/326.25
  6. Step 6: Final answer
    x = 431.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.