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Finding the Fourth Proportional to 589.28, 883.74 and 280.97

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Solution

The fourth proportional to 589.28, 883.74 and 280.97 is: 421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.28 : 883.74 = 280.97 : x
  2. Step 2: Convert to fraction form
    589.28/883.74 = 280.97/x
  3. Step 3: Cross multiply
    589.28x = 883.74 × 280.97
  4. Step 4: Simplify right side
    589.28x = 248,304.43
  5. Step 5: Solve for x
    x = 248,304.43/589.28
  6. Step 6: Final answer
    x = 421.37

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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.