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Finding the Fourth Proportional to 682.31, 1,023.97 and 317.35

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Solution

The fourth proportional to 682.31, 1,023.97 and 317.35 is: 476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.31 : 1,023.97 = 317.35 : x
  2. Step 2: Convert to fraction form
    682.31/1,023.97 = 317.35/x
  3. Step 3: Cross multiply
    682.31x = 1,023.97 × 317.35
  4. Step 4: Simplify right side
    682.31x = 324,956.88
  5. Step 5: Solve for x
    x = 324,956.88/682.31
  6. Step 6: Final answer
    x = 476.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.