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Finding the Fourth Proportional to 681.50, 939.96 and 432.60

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Solution

The fourth proportional to 681.50, 939.96 and 432.60 is: 596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.50 : 939.96 = 432.60 : x
  2. Step 2: Convert to fraction form
    681.50/939.96 = 432.60/x
  3. Step 3: Cross multiply
    681.50x = 939.96 × 432.60
  4. Step 4: Simplify right side
    681.50x = 406,626.70
  5. Step 5: Solve for x
    x = 406,626.70/681.50
  6. Step 6: Final answer
    x = 596.67

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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.