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Finding the Fourth Proportional to 604.41, 833.83 and 342.37

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Solution

The fourth proportional to 604.41, 833.83 and 342.37 is: 472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.41 : 833.83 = 342.37 : x
  2. Step 2: Convert to fraction form
    604.41/833.83 = 342.37/x
  3. Step 3: Cross multiply
    604.41x = 833.83 × 342.37
  4. Step 4: Simplify right side
    604.41x = 285,478.38
  5. Step 5: Solve for x
    x = 285,478.38/604.41
  6. Step 6: Final answer
    x = 472.33

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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.