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Finding the Fourth Proportional to 604.59, 834.47 and 506.17

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Solution

The fourth proportional to 604.59, 834.47 and 506.17 is: 698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.59 : 834.47 = 506.17 : x
  2. Step 2: Convert to fraction form
    604.59/834.47 = 506.17/x
  3. Step 3: Cross multiply
    604.59x = 834.47 × 506.17
  4. Step 4: Simplify right side
    604.59x = 422,383.68
  5. Step 5: Solve for x
    x = 422,383.68/604.59
  6. Step 6: Final answer
    x = 698.63

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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.