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Finding the Fourth Proportional to 494.21, 682.01 and 284.43

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Solution

The fourth proportional to 494.21, 682.01 and 284.43 is: 392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.21 : 682.01 = 284.43 : x
  2. Step 2: Convert to fraction form
    494.21/682.01 = 284.43/x
  3. Step 3: Cross multiply
    494.21x = 682.01 × 284.43
  4. Step 4: Simplify right side
    494.21x = 193,980.69
  5. Step 5: Solve for x
    x = 193,980.69/494.21
  6. Step 6: Final answer
    x = 392.51

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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.