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Finding the Fourth Proportional to 589.40, 884.11 and 199.41

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Solution

The fourth proportional to 589.40, 884.11 and 199.41 is: 299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.40 : 884.11 = 199.41 : x
  2. Step 2: Convert to fraction form
    589.40/884.11 = 199.41/x
  3. Step 3: Cross multiply
    589.40x = 884.11 × 199.41
  4. Step 4: Simplify right side
    589.40x = 176,297.17
  5. Step 5: Solve for x
    x = 176,297.17/589.40
  6. Step 6: Final answer
    x = 299.11

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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.