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Finding the Fourth Proportional to 506.26, 698.73 and 331.60

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Solution

The fourth proportional to 506.26, 698.73 and 331.60 is: 457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.26 : 698.73 = 331.60 : x
  2. Step 2: Convert to fraction form
    506.26/698.73 = 331.60/x
  3. Step 3: Cross multiply
    506.26x = 698.73 × 331.60
  4. Step 4: Simplify right side
    506.26x = 231,698.87
  5. Step 5: Solve for x
    x = 231,698.87/506.26
  6. Step 6: Final answer
    x = 457.67

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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.