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Finding the Fourth Proportional to 604.27, 833.82 and 342.24

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Solution

The fourth proportional to 604.27, 833.82 and 342.24 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.27 : 833.82 = 342.24 : x
  2. Step 2: Convert to fraction form
    604.27/833.82 = 342.24/x
  3. Step 3: Cross multiply
    604.27x = 833.82 × 342.24
  4. Step 4: Simplify right side
    604.27x = 285,366.56
  5. Step 5: Solve for x
    x = 285,366.56/604.27
  6. Step 6: Final answer
    x = 472.25

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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.