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Finding the Fourth Proportional to 604.22, 833.83 and 342.29

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Solution

The fourth proportional to 604.22, 833.83 and 342.29 is: 472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.22 : 833.83 = 342.29 : x
  2. Step 2: Convert to fraction form
    604.22/833.83 = 342.29/x
  3. Step 3: Cross multiply
    604.22x = 833.83 × 342.29
  4. Step 4: Simplify right side
    604.22x = 285,406.65
  5. Step 5: Solve for x
    x = 285,406.65/604.22
  6. Step 6: Final answer
    x = 472.36

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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.