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Finding the Fourth Proportional to 655.26, 981.96 and 308.70

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Solution

The fourth proportional to 655.26, 981.96 and 308.70 is: 462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.26 : 981.96 = 308.70 : x
  2. Step 2: Convert to fraction form
    655.26/981.96 = 308.70/x
  3. Step 3: Cross multiply
    655.26x = 981.96 × 308.70
  4. Step 4: Simplify right side
    655.26x = 303,131.05
  5. Step 5: Solve for x
    x = 303,131.05/655.26
  6. Step 6: Final answer
    x = 462.61

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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.