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Finding the Fourth Proportional to 584.28, 874.49 and 504.09

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Solution

The fourth proportional to 584.28, 874.49 and 504.09 is: 754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 874.49 = 504.09 : x
  2. Step 2: Convert to fraction form
    584.28/874.49 = 504.09/x
  3. Step 3: Cross multiply
    584.28x = 874.49 × 504.09
  4. Step 4: Simplify right side
    584.28x = 440,819.14
  5. Step 5: Solve for x
    x = 440,819.14/584.28
  6. Step 6: Final answer
    x = 754.47

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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.