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Finding the Fourth Proportional to 494.49, 682.16 and 308.01

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Solution

The fourth proportional to 494.49, 682.16 and 308.01 is: 424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.49 : 682.16 = 308.01 : x
  2. Step 2: Convert to fraction form
    494.49/682.16 = 308.01/x
  3. Step 3: Cross multiply
    494.49x = 682.16 × 308.01
  4. Step 4: Simplify right side
    494.49x = 210,110.56
  5. Step 5: Solve for x
    x = 210,110.56/494.49
  6. Step 6: Final answer
    x = 424.90

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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.