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Finding the Fourth Proportional to 493.54, 680.97 and 325.47

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Solution

The fourth proportional to 493.54, 680.97 and 325.47 is: 449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.54 : 680.97 = 325.47 : x
  2. Step 2: Convert to fraction form
    493.54/680.97 = 325.47/x
  3. Step 3: Cross multiply
    493.54x = 680.97 × 325.47
  4. Step 4: Simplify right side
    493.54x = 221,633.68
  5. Step 5: Solve for x
    x = 221,633.68/493.54
  6. Step 6: Final answer
    x = 449.07

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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.