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Finding the Fourth Proportional to 604.96, 834.81 and 339.42

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Solution

The fourth proportional to 604.96, 834.81 and 339.42 is: 468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.96 : 834.81 = 339.42 : x
  2. Step 2: Convert to fraction form
    604.96/834.81 = 339.42/x
  3. Step 3: Cross multiply
    604.96x = 834.81 × 339.42
  4. Step 4: Simplify right side
    604.96x = 283,351.21
  5. Step 5: Solve for x
    x = 283,351.21/604.96
  6. Step 6: Final answer
    x = 468.38

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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.