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Finding the Fourth Proportional to 517.09, 713.46 and 475.60

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Solution

The fourth proportional to 517.09, 713.46 and 475.60 is: 656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.09 : 713.46 = 475.60 : x
  2. Step 2: Convert to fraction form
    517.09/713.46 = 475.60/x
  3. Step 3: Cross multiply
    517.09x = 713.46 × 475.60
  4. Step 4: Simplify right side
    517.09x = 339,321.58
  5. Step 5: Solve for x
    x = 339,321.58/517.09
  6. Step 6: Final answer
    x = 656.21

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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.