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Finding the Fourth Proportional to 655.48, 982.98 and 265.27

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Solution

The fourth proportional to 655.48, 982.98 and 265.27 is: 397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.48 : 982.98 = 265.27 : x
  2. Step 2: Convert to fraction form
    655.48/982.98 = 265.27/x
  3. Step 3: Cross multiply
    655.48x = 982.98 × 265.27
  4. Step 4: Simplify right side
    655.48x = 260,755.10
  5. Step 5: Solve for x
    x = 260,755.10/655.48
  6. Step 6: Final answer
    x = 397.81

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