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Finding the Fourth Proportional to 655.29, 982.70 and 265.17

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Solution

The fourth proportional to 655.29, 982.70 and 265.17 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.29 : 982.70 = 265.17 : x
  2. Step 2: Convert to fraction form
    655.29/982.70 = 265.17/x
  3. Step 3: Cross multiply
    655.29x = 982.70 × 265.17
  4. Step 4: Simplify right side
    655.29x = 260,581.23
  5. Step 5: Solve for x
    x = 260,581.23/655.29
  6. Step 6: Final answer
    x = 397.66

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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.