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Finding the Fourth Proportional to 604.82, 834.63 and 339.23

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Solution

The fourth proportional to 604.82, 834.63 and 339.23 is: 468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.82 : 834.63 = 339.23 : x
  2. Step 2: Convert to fraction form
    604.82/834.63 = 339.23/x
  3. Step 3: Cross multiply
    604.82x = 834.63 × 339.23
  4. Step 4: Simplify right side
    604.82x = 283,130.47
  5. Step 5: Solve for x
    x = 283,130.47/604.82
  6. Step 6: Final answer
    x = 468.12

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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.