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Finding the Fourth Proportional to 655.06, 982.75 and 216.34

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Solution

The fourth proportional to 655.06, 982.75 and 216.34 is: 324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.06 : 982.75 = 216.34 : x
  2. Step 2: Convert to fraction form
    655.06/982.75 = 216.34/x
  3. Step 3: Cross multiply
    655.06x = 982.75 × 216.34
  4. Step 4: Simplify right side
    655.06x = 212,605.54
  5. Step 5: Solve for x
    x = 212,605.54/655.06
  6. Step 6: Final answer
    x = 324.56

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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.