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Finding the Fourth Proportional to 589.28, 882.81 and 296.43

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Solution

The fourth proportional to 589.28, 882.81 and 296.43 is: 444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.28 : 882.81 = 296.43 : x
  2. Step 2: Convert to fraction form
    589.28/882.81 = 296.43/x
  3. Step 3: Cross multiply
    589.28x = 882.81 × 296.43
  4. Step 4: Simplify right side
    589.28x = 261,691.37
  5. Step 5: Solve for x
    x = 261,691.37/589.28
  6. Step 6: Final answer
    x = 444.09

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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.