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Finding the Fourth Proportional to 604.19, 833.67 and 338.57

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Solution

The fourth proportional to 604.19, 833.67 and 338.57 is: 467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.19 : 833.67 = 338.57 : x
  2. Step 2: Convert to fraction form
    604.19/833.67 = 338.57/x
  3. Step 3: Cross multiply
    604.19x = 833.67 × 338.57
  4. Step 4: Simplify right side
    604.19x = 282,255.65
  5. Step 5: Solve for x
    x = 282,255.65/604.19
  6. Step 6: Final answer
    x = 467.16

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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.