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Finding the Fourth Proportional to 655.40, 982.06 and 449.24

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Solution

The fourth proportional to 655.40, 982.06 and 449.24 is: 673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.40 : 982.06 = 449.24 : x
  2. Step 2: Convert to fraction form
    655.40/982.06 = 449.24/x
  3. Step 3: Cross multiply
    655.40x = 982.06 × 449.24
  4. Step 4: Simplify right side
    655.40x = 441,180.63
  5. Step 5: Solve for x
    x = 441,180.63/655.40
  6. Step 6: Final answer
    x = 673.15

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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.