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Finding the Fourth Proportional to 604.26, 834.30 and 473.04

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Solution

The fourth proportional to 604.26, 834.30 and 473.04 is: 653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.26 : 834.30 = 473.04 : x
  2. Step 2: Convert to fraction form
    604.26/834.30 = 473.04/x
  3. Step 3: Cross multiply
    604.26x = 834.30 × 473.04
  4. Step 4: Simplify right side
    604.26x = 394,657.27
  5. Step 5: Solve for x
    x = 394,657.27/604.26
  6. Step 6: Final answer
    x = 653.12

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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.