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Finding the Fourth Proportional to 494.14, 680.09 and 480.56

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Solution

The fourth proportional to 494.14, 680.09 and 480.56 is: 661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.14 : 680.09 = 480.56 : x
  2. Step 2: Convert to fraction form
    494.14/680.09 = 480.56/x
  3. Step 3: Cross multiply
    494.14x = 680.09 × 480.56
  4. Step 4: Simplify right side
    494.14x = 326,824.05
  5. Step 5: Solve for x
    x = 326,824.05/494.14
  6. Step 6: Final answer
    x = 661.40

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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.