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Finding the Fourth Proportional to 609.75, 908.84 and 574.25

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Solution

The fourth proportional to 609.75, 908.84 and 574.25 is: 855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.75 : 908.84 = 574.25 : x
  2. Step 2: Convert to fraction form
    609.75/908.84 = 574.25/x
  3. Step 3: Cross multiply
    609.75x = 908.84 × 574.25
  4. Step 4: Simplify right side
    609.75x = 521,893.95
  5. Step 5: Solve for x
    x = 521,893.95/609.75
  6. Step 6: Final answer
    x = 855.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.