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Finding the Fourth Proportional to 584.28, 874.26 and 454.68

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Solution

The fourth proportional to 584.28, 874.26 and 454.68 is: 680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 874.26 = 454.68 : x
  2. Step 2: Convert to fraction form
    584.28/874.26 = 454.68/x
  3. Step 3: Cross multiply
    584.28x = 874.26 × 454.68
  4. Step 4: Simplify right side
    584.28x = 397,508.54
  5. Step 5: Solve for x
    x = 397,508.54/584.28
  6. Step 6: Final answer
    x = 680.34

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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.