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Finding the Fourth Proportional to 589.98, 884.49 and 205.02

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Solution

The fourth proportional to 589.98, 884.49 and 205.02 is: 307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.98 : 884.49 = 205.02 : x
  2. Step 2: Convert to fraction form
    589.98/884.49 = 205.02/x
  3. Step 3: Cross multiply
    589.98x = 884.49 × 205.02
  4. Step 4: Simplify right side
    589.98x = 181,338.14
  5. Step 5: Solve for x
    x = 181,338.14/589.98
  6. Step 6: Final answer
    x = 307.36

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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.