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Finding the Fourth Proportional to 589.97, 885.37 and 205.22

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Solution

The fourth proportional to 589.97, 885.37 and 205.22 is: 307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.97 : 885.37 = 205.22 : x
  2. Step 2: Convert to fraction form
    589.97/885.37 = 205.22/x
  3. Step 3: Cross multiply
    589.97x = 885.37 × 205.22
  4. Step 4: Simplify right side
    589.97x = 181,697.33
  5. Step 5: Solve for x
    x = 181,697.33/589.97
  6. Step 6: Final answer
    x = 307.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.