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Finding the Fourth Proportional to 492.77, 680.33 and 327.13

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Solution

The fourth proportional to 492.77, 680.33 and 327.13 is: 451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.77 : 680.33 = 327.13 : x
  2. Step 2: Convert to fraction form
    492.77/680.33 = 327.13/x
  3. Step 3: Cross multiply
    492.77x = 680.33 × 327.13
  4. Step 4: Simplify right side
    492.77x = 222,556.35
  5. Step 5: Solve for x
    x = 222,556.35/492.77
  6. Step 6: Final answer
    x = 451.64

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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.