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Finding the Fourth Proportional to 655.25, 982.83 and 285.05

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Solution

The fourth proportional to 655.25, 982.83 and 285.05 is: 427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.25 : 982.83 = 285.05 : x
  2. Step 2: Convert to fraction form
    655.25/982.83 = 285.05/x
  3. Step 3: Cross multiply
    655.25x = 982.83 × 285.05
  4. Step 4: Simplify right side
    655.25x = 280,155.69
  5. Step 5: Solve for x
    x = 280,155.69/655.25
  6. Step 6: Final answer
    x = 427.55

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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.