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Finding the Fourth Proportional to 589.80, 885.22 and 329.41

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Solution

The fourth proportional to 589.80, 885.22 and 329.41 is: 494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 885.22 = 329.41 : x
  2. Step 2: Convert to fraction form
    589.80/885.22 = 329.41/x
  3. Step 3: Cross multiply
    589.80x = 885.22 × 329.41
  4. Step 4: Simplify right side
    589.80x = 291,600.32
  5. Step 5: Solve for x
    x = 291,600.32/589.80
  6. Step 6: Final answer
    x = 494.41

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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.