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Finding the Fourth Proportional to 617.73, 852.48 and 337.97

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Solution

The fourth proportional to 617.73, 852.48 and 337.97 is: 466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.73 : 852.48 = 337.97 : x
  2. Step 2: Convert to fraction form
    617.73/852.48 = 337.97/x
  3. Step 3: Cross multiply
    617.73x = 852.48 × 337.97
  4. Step 4: Simplify right side
    617.73x = 288,112.67
  5. Step 5: Solve for x
    x = 288,112.67/617.73
  6. Step 6: Final answer
    x = 466.41

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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.