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Finding the Fourth Proportional to 682.27, 1,023.41 and 358.27

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Solution

The fourth proportional to 682.27, 1,023.41 and 358.27 is: 537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.27 : 1,023.41 = 358.27 : x
  2. Step 2: Convert to fraction form
    682.27/1,023.41 = 358.27/x
  3. Step 3: Cross multiply
    682.27x = 1,023.41 × 358.27
  4. Step 4: Simplify right side
    682.27x = 366,655.44
  5. Step 5: Solve for x
    x = 366,655.44/682.27
  6. Step 6: Final answer
    x = 537.41

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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.