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Finding the Fourth Proportional to 589.82, 884.04 and 329.76

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Solution

The fourth proportional to 589.82, 884.04 and 329.76 is: 494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.82 : 884.04 = 329.76 : x
  2. Step 2: Convert to fraction form
    589.82/884.04 = 329.76/x
  3. Step 3: Cross multiply
    589.82x = 884.04 × 329.76
  4. Step 4: Simplify right side
    589.82x = 291,521.03
  5. Step 5: Solve for x
    x = 291,521.03/589.82
  6. Step 6: Final answer
    x = 494.26

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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.