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Finding the Fourth Proportional to 589.62, 884.52 and 204.78

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Solution

The fourth proportional to 589.62, 884.52 and 204.78 is: 307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.62 : 884.52 = 204.78 : x
  2. Step 2: Convert to fraction form
    589.62/884.52 = 204.78/x
  3. Step 3: Cross multiply
    589.62x = 884.52 × 204.78
  4. Step 4: Simplify right side
    589.62x = 181,132.01
  5. Step 5: Solve for x
    x = 181,132.01/589.62
  6. Step 6: Final answer
    x = 307.20

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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.