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Finding the Fourth Proportional to 655.56, 982.78 and 271.08

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Solution

The fourth proportional to 655.56, 982.78 and 271.08 is: 406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.56 : 982.78 = 271.08 : x
  2. Step 2: Convert to fraction form
    655.56/982.78 = 271.08/x
  3. Step 3: Cross multiply
    655.56x = 982.78 × 271.08
  4. Step 4: Simplify right side
    655.56x = 266,412.00
  5. Step 5: Solve for x
    x = 266,412.00/655.56
  6. Step 6: Final answer
    x = 406.39

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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.