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Finding the Fourth Proportional to 589.34, 884.88 and 329.85

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Solution

The fourth proportional to 589.34, 884.88 and 329.85 is: 495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.34 : 884.88 = 329.85 : x
  2. Step 2: Convert to fraction form
    589.34/884.88 = 329.85/x
  3. Step 3: Cross multiply
    589.34x = 884.88 × 329.85
  4. Step 4: Simplify right side
    589.34x = 291,877.67
  5. Step 5: Solve for x
    x = 291,877.67/589.34
  6. Step 6: Final answer
    x = 495.26

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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.