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Finding the Fourth Proportional to 619.75, 855.26 and 357.85

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Solution

The fourth proportional to 619.75, 855.26 and 357.85 is: 493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.75 : 855.26 = 357.85 : x
  2. Step 2: Convert to fraction form
    619.75/855.26 = 357.85/x
  3. Step 3: Cross multiply
    619.75x = 855.26 × 357.85
  4. Step 4: Simplify right side
    619.75x = 306,054.79
  5. Step 5: Solve for x
    x = 306,054.79/619.75
  6. Step 6: Final answer
    x = 493.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.