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Finding the Fourth Proportional to 655.25, 982.36 and 325.97

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Solution

The fourth proportional to 655.25, 982.36 and 325.97 is: 488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.25 : 982.36 = 325.97 : x
  2. Step 2: Convert to fraction form
    655.25/982.36 = 325.97/x
  3. Step 3: Cross multiply
    655.25x = 982.36 × 325.97
  4. Step 4: Simplify right side
    655.25x = 320,219.89
  5. Step 5: Solve for x
    x = 320,219.89/655.25
  6. Step 6: Final answer
    x = 488.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.