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Finding the Fourth Proportional to 589.89, 884.94 and 205.14

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Solution

The fourth proportional to 589.89, 884.94 and 205.14 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.89 : 884.94 = 205.14 : x
  2. Step 2: Convert to fraction form
    589.89/884.94 = 205.14/x
  3. Step 3: Cross multiply
    589.89x = 884.94 × 205.14
  4. Step 4: Simplify right side
    589.89x = 181,536.59
  5. Step 5: Solve for x
    x = 181,536.59/589.89
  6. Step 6: Final answer
    x = 307.75

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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.