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Finding the Fourth Proportional to 655.06, 982.20 and 308.18

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Solution

The fourth proportional to 655.06, 982.20 and 308.18 is: 462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.06 : 982.20 = 308.18 : x
  2. Step 2: Convert to fraction form
    655.06/982.20 = 308.18/x
  3. Step 3: Cross multiply
    655.06x = 982.20 × 308.18
  4. Step 4: Simplify right side
    655.06x = 302,694.40
  5. Step 5: Solve for x
    x = 302,694.40/655.06
  6. Step 6: Final answer
    x = 462.09

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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.