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Finding the Fourth Proportional to 604.26, 834.81 and 464.94

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Solution

The fourth proportional to 604.26, 834.81 and 464.94 is: 642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.26 : 834.81 = 464.94 : x
  2. Step 2: Convert to fraction form
    604.26/834.81 = 464.94/x
  3. Step 3: Cross multiply
    604.26x = 834.81 × 464.94
  4. Step 4: Simplify right side
    604.26x = 388,134.82
  5. Step 5: Solve for x
    x = 388,134.82/604.26
  6. Step 6: Final answer
    x = 642.33

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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.