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Finding the Fourth Proportional to 655.96, 984.19 and 290.49

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Solution

The fourth proportional to 655.96, 984.19 and 290.49 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.96 : 984.19 = 290.49 : x
  2. Step 2: Convert to fraction form
    655.96/984.19 = 290.49/x
  3. Step 3: Cross multiply
    655.96x = 984.19 × 290.49
  4. Step 4: Simplify right side
    655.96x = 285,897.35
  5. Step 5: Solve for x
    x = 285,897.35/655.96
  6. Step 6: Final answer
    x = 435.85

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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.