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Finding the Fourth Proportional to 655.03, 982.61 and 270.31

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Solution

The fourth proportional to 655.03, 982.61 and 270.31 is: 405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.03 : 982.61 = 270.31 : x
  2. Step 2: Convert to fraction form
    655.03/982.61 = 270.31/x
  3. Step 3: Cross multiply
    655.03x = 982.61 × 270.31
  4. Step 4: Simplify right side
    655.03x = 265,607.96
  5. Step 5: Solve for x
    x = 265,607.96/655.03
  6. Step 6: Final answer
    x = 405.49

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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.