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Finding the Fourth Proportional to 326.42, 488.92 and 189.33

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Solution

The fourth proportional to 326.42, 488.92 and 189.33 is: 283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.42 : 488.92 = 189.33 : x
  2. Step 2: Convert to fraction form
    326.42/488.92 = 189.33/x
  3. Step 3: Cross multiply
    326.42x = 488.92 × 189.33
  4. Step 4: Simplify right side
    326.42x = 92,567.22
  5. Step 5: Solve for x
    x = 92,567.22/326.42
  6. Step 6: Final answer
    x = 283.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.