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Finding the Fourth Proportional to 617.23, 855.46 and 605.71

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Solution

The fourth proportional to 617.23, 855.46 and 605.71 is: 839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.23 : 855.46 = 605.71 : x
  2. Step 2: Convert to fraction form
    617.23/855.46 = 605.71/x
  3. Step 3: Cross multiply
    617.23x = 855.46 × 605.71
  4. Step 4: Simplify right side
    617.23x = 518,160.68
  5. Step 5: Solve for x
    x = 518,160.68/617.23
  6. Step 6: Final answer
    x = 839.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.