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Finding the Fourth Proportional to 589.96, 884.88 and 205.18

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Solution

The fourth proportional to 589.96, 884.88 and 205.18 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.96 : 884.88 = 205.18 : x
  2. Step 2: Convert to fraction form
    589.96/884.88 = 205.18/x
  3. Step 3: Cross multiply
    589.96x = 884.88 × 205.18
  4. Step 4: Simplify right side
    589.96x = 181,559.68
  5. Step 5: Solve for x
    x = 181,559.68/589.96
  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.