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Finding the Fourth Proportional to 517.90, 713.70 and 484.06

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Solution

The fourth proportional to 517.90, 713.70 and 484.06 is: 667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.90 : 713.70 = 484.06 : x
  2. Step 2: Convert to fraction form
    517.90/713.70 = 484.06/x
  3. Step 3: Cross multiply
    517.90x = 713.70 × 484.06
  4. Step 4: Simplify right side
    517.90x = 345,473.62
  5. Step 5: Solve for x
    x = 345,473.62/517.90
  6. Step 6: Final answer
    x = 667.07

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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.