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Finding the Fourth Proportional to 494.40, 680.81 and 354.27

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Solution

The fourth proportional to 494.40, 680.81 and 354.27 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.40 : 680.81 = 354.27 : x
  2. Step 2: Convert to fraction form
    494.40/680.81 = 354.27/x
  3. Step 3: Cross multiply
    494.40x = 680.81 × 354.27
  4. Step 4: Simplify right side
    494.40x = 241,191.34
  5. Step 5: Solve for x
    x = 241,191.34/494.40
  6. Step 6: Final answer
    x = 487.84

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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.