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Finding the Fourth Proportional to 682.58, 1,024.19 and 317.43

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Solution

The fourth proportional to 682.58, 1,024.19 and 317.43 is: 476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.58 : 1,024.19 = 317.43 : x
  2. Step 2: Convert to fraction form
    682.58/1,024.19 = 317.43/x
  3. Step 3: Cross multiply
    682.58x = 1,024.19 × 317.43
  4. Step 4: Simplify right side
    682.58x = 325,107.04
  5. Step 5: Solve for x
    x = 325,107.04/682.58
  6. Step 6: Final answer
    x = 476.29

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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.