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Finding the Fourth Proportional to 655.52, 982.80 and 270.56

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Solution

The fourth proportional to 655.52, 982.80 and 270.56 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.52 : 982.80 = 270.56 : x
  2. Step 2: Convert to fraction form
    655.52/982.80 = 270.56/x
  3. Step 3: Cross multiply
    655.52x = 982.80 × 270.56
  4. Step 4: Simplify right side
    655.52x = 265,906.37
  5. Step 5: Solve for x
    x = 265,906.37/655.52
  6. Step 6: Final answer
    x = 405.64

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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.