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Finding the Fourth Proportional to 589.44, 882.74 and 296.02

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Solution

The fourth proportional to 589.44, 882.74 and 296.02 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.44 : 882.74 = 296.02 : x
  2. Step 2: Convert to fraction form
    589.44/882.74 = 296.02/x
  3. Step 3: Cross multiply
    589.44x = 882.74 × 296.02
  4. Step 4: Simplify right side
    589.44x = 261,309.43
  5. Step 5: Solve for x
    x = 261,309.43/589.44
  6. Step 6: Final answer
    x = 443.32

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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.