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Finding the Fourth Proportional to 604.48, 834.04 and 455.26

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Solution

The fourth proportional to 604.48, 834.04 and 455.26 is: 628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.48 : 834.04 = 455.26 : x
  2. Step 2: Convert to fraction form
    604.48/834.04 = 455.26/x
  3. Step 3: Cross multiply
    604.48x = 834.04 × 455.26
  4. Step 4: Simplify right side
    604.48x = 379,705.05
  5. Step 5: Solve for x
    x = 379,705.05/604.48
  6. Step 6: Final answer
    x = 628.15

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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.