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Finding the Fourth Proportional to 589.72, 814.38 and 450.80

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Solution

The fourth proportional to 589.72, 814.38 and 450.80 is: 622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.72 : 814.38 = 450.80 : x
  2. Step 2: Convert to fraction form
    589.72/814.38 = 450.80/x
  3. Step 3: Cross multiply
    589.72x = 814.38 × 450.80
  4. Step 4: Simplify right side
    589.72x = 367,122.50
  5. Step 5: Solve for x
    x = 367,122.50/589.72
  6. Step 6: Final answer
    x = 622.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.