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Finding the Fourth Proportional to 589.68, 883.31 and 296.27

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Solution

The fourth proportional to 589.68, 883.31 and 296.27 is: 443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 883.31 = 296.27 : x
  2. Step 2: Convert to fraction form
    589.68/883.31 = 296.27/x
  3. Step 3: Cross multiply
    589.68x = 883.31 × 296.27
  4. Step 4: Simplify right side
    589.68x = 261,692.36
  5. Step 5: Solve for x
    x = 261,692.36/589.68
  6. Step 6: Final answer
    x = 443.79

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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.