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Finding the Fourth Proportional to 589.52, 884.24 and 199.38

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Solution

The fourth proportional to 589.52, 884.24 and 199.38 is: 299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.52 : 884.24 = 199.38 : x
  2. Step 2: Convert to fraction form
    589.52/884.24 = 199.38/x
  3. Step 3: Cross multiply
    589.52x = 884.24 × 199.38
  4. Step 4: Simplify right side
    589.52x = 176,302.84
  5. Step 5: Solve for x
    x = 176,302.84/589.52
  6. Step 6: Final answer
    x = 299.06

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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.