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Finding the Fourth Proportional to 517.06, 771.60 and 461.62

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Solution

The fourth proportional to 517.06, 771.60 and 461.62 is: 688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.06 : 771.60 = 461.62 : x
  2. Step 2: Convert to fraction form
    517.06/771.60 = 461.62/x
  3. Step 3: Cross multiply
    517.06x = 771.60 × 461.62
  4. Step 4: Simplify right side
    517.06x = 356,189.56
  5. Step 5: Solve for x
    x = 356,189.56/517.06
  6. Step 6: Final answer
    x = 688.88

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