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Finding the Fourth Proportional to 655.20, 982.40 and 308.06

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Solution

The fourth proportional to 655.20, 982.40 and 308.06 is: 461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 982.40 = 308.06 : x
  2. Step 2: Convert to fraction form
    655.20/982.40 = 308.06/x
  3. Step 3: Cross multiply
    655.20x = 982.40 × 308.06
  4. Step 4: Simplify right side
    655.20x = 302,638.14
  5. Step 5: Solve for x
    x = 302,638.14/655.20
  6. Step 6: Final answer
    x = 461.90

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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.