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Finding the Fourth Proportional to 589.55, 884.32 and 329.42

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Solution

The fourth proportional to 589.55, 884.32 and 329.42 is: 494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.55 : 884.32 = 329.42 : x
  2. Step 2: Convert to fraction form
    589.55/884.32 = 329.42/x
  3. Step 3: Cross multiply
    589.55x = 884.32 × 329.42
  4. Step 4: Simplify right side
    589.55x = 291,314.08
  5. Step 5: Solve for x
    x = 291,314.08/589.55
  6. Step 6: Final answer
    x = 494.13

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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.