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Finding the Fourth Proportional to 517.09, 713.31 and 320.26

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Solution

The fourth proportional to 517.09, 713.31 and 320.26 is: 441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.09 : 713.31 = 320.26 : x
  2. Step 2: Convert to fraction form
    517.09/713.31 = 320.26/x
  3. Step 3: Cross multiply
    517.09x = 713.31 × 320.26
  4. Step 4: Simplify right side
    517.09x = 228,444.66
  5. Step 5: Solve for x
    x = 228,444.66/517.09
  6. Step 6: Final answer
    x = 441.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.