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Finding the Fourth Proportional to 589.44, 884.53 and 329.61

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Solution

The fourth proportional to 589.44, 884.53 and 329.61 is: 494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.44 : 884.53 = 329.61 : x
  2. Step 2: Convert to fraction form
    589.44/884.53 = 329.61/x
  3. Step 3: Cross multiply
    589.44x = 884.53 × 329.61
  4. Step 4: Simplify right side
    589.44x = 291,552.93
  5. Step 5: Solve for x
    x = 291,552.93/589.44
  6. Step 6: Final answer
    x = 494.63

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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.