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Finding the Fourth Proportional to 589.35, 884.02 and 204.60

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Solution

The fourth proportional to 589.35, 884.02 and 204.60 is: 306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.35 : 884.02 = 204.60 : x
  2. Step 2: Convert to fraction form
    589.35/884.02 = 204.60/x
  3. Step 3: Cross multiply
    589.35x = 884.02 × 204.60
  4. Step 4: Simplify right side
    589.35x = 180,866.07
  5. Step 5: Solve for x
    x = 180,866.07/589.35
  6. Step 6: Final answer
    x = 306.89

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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.