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Finding the Fourth Proportional to 604.57, 834.71 and 464.44

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Solution

The fourth proportional to 604.57, 834.71 and 464.44 is: 641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.57 : 834.71 = 464.44 : x
  2. Step 2: Convert to fraction form
    604.57/834.71 = 464.44/x
  3. Step 3: Cross multiply
    604.57x = 834.71 × 464.44
  4. Step 4: Simplify right side
    604.57x = 387,666.22
  5. Step 5: Solve for x
    x = 387,666.22/604.57
  6. Step 6: Final answer
    x = 641.23

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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.