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Finding the Fourth Proportional to 589.58, 884.48 and 329.73

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Solution

The fourth proportional to 589.58, 884.48 and 329.73 is: 494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.58 : 884.48 = 329.73 : x
  2. Step 2: Convert to fraction form
    589.58/884.48 = 329.73/x
  3. Step 3: Cross multiply
    589.58x = 884.48 × 329.73
  4. Step 4: Simplify right side
    589.58x = 291,639.59
  5. Step 5: Solve for x
    x = 291,639.59/589.58
  6. Step 6: Final answer
    x = 494.66

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Why These Related Problems?

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