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Finding the Fourth Proportional to 610.75, 842.91 and 362.21

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Solution

The fourth proportional to 610.75, 842.91 and 362.21 is: 499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.75 : 842.91 = 362.21 : x
  2. Step 2: Convert to fraction form
    610.75/842.91 = 362.21/x
  3. Step 3: Cross multiply
    610.75x = 842.91 × 362.21
  4. Step 4: Simplify right side
    610.75x = 305,310.43
  5. Step 5: Solve for x
    x = 305,310.43/610.75
  6. Step 6: Final answer
    x = 499.90

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