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Finding the Fourth Proportional to 517.31, 713.97 and 386.69

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Solution

The fourth proportional to 517.31, 713.97 and 386.69 is: 533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.31 : 713.97 = 386.69 : x
  2. Step 2: Convert to fraction form
    517.31/713.97 = 386.69/x
  3. Step 3: Cross multiply
    517.31x = 713.97 × 386.69
  4. Step 4: Simplify right side
    517.31x = 276,085.06
  5. Step 5: Solve for x
    x = 276,085.06/517.31
  6. Step 6: Final answer
    x = 533.69

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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.