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Finding the Fourth Proportional to 604.92, 834.69 and 380.82

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Solution

The fourth proportional to 604.92, 834.69 and 380.82 is: 525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 834.69 = 380.82 : x
  2. Step 2: Convert to fraction form
    604.92/834.69 = 380.82/x
  3. Step 3: Cross multiply
    604.92x = 834.69 × 380.82
  4. Step 4: Simplify right side
    604.92x = 317,866.65
  5. Step 5: Solve for x
    x = 317,866.65/604.92
  6. Step 6: Final answer
    x = 525.47

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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.