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Finding the Fourth Proportional to 655.06, 984.06 and 381.82

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Solution

The fourth proportional to 655.06, 984.06 and 381.82 is: 573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.06 : 984.06 = 381.82 : x
  2. Step 2: Convert to fraction form
    655.06/984.06 = 381.82/x
  3. Step 3: Cross multiply
    655.06x = 984.06 × 381.82
  4. Step 4: Simplify right side
    655.06x = 375,733.79
  5. Step 5: Solve for x
    x = 375,733.79/655.06
  6. Step 6: Final answer
    x = 573.59

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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.