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Finding the Fourth Proportional to 589, 883.50 and 204.25

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Solution

The fourth proportional to 589, 883.50 and 204.25 is: 306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 883.50 = 204.25 : x
  2. Step 2: Convert to fraction form
    589/883.50 = 204.25/x
  3. Step 3: Cross multiply
    589x = 883.50 × 204.25
  4. Step 4: Simplify right side
    589x = 180,454.88
  5. Step 5: Solve for x
    x = 180,454.88/589
  6. Step 6: Final answer
    x = 306.38

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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.