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Finding the Fourth Proportional to 604.14, 833.52 and 342.09

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Solution

The fourth proportional to 604.14, 833.52 and 342.09 is: 471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.14 : 833.52 = 342.09 : x
  2. Step 2: Convert to fraction form
    604.14/833.52 = 342.09/x
  3. Step 3: Cross multiply
    604.14x = 833.52 × 342.09
  4. Step 4: Simplify right side
    604.14x = 285,138.86
  5. Step 5: Solve for x
    x = 285,138.86/604.14
  6. Step 6: Final answer
    x = 471.97

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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.