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Finding the Fourth Proportional to 605.02, 834.84 and 339.48

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Solution

The fourth proportional to 605.02, 834.84 and 339.48 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.02 : 834.84 = 339.48 : x
  2. Step 2: Convert to fraction form
    605.02/834.84 = 339.48/x
  3. Step 3: Cross multiply
    605.02x = 834.84 × 339.48
  4. Step 4: Simplify right side
    605.02x = 283,411.48
  5. Step 5: Solve for x
    x = 283,411.48/605.02
  6. Step 6: Final answer
    x = 468.43

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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.