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Finding the Fourth Proportional to 494.37, 682.26 and 284.61

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Solution

The fourth proportional to 494.37, 682.26 and 284.61 is: 392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.37 : 682.26 = 284.61 : x
  2. Step 2: Convert to fraction form
    494.37/682.26 = 284.61/x
  3. Step 3: Cross multiply
    494.37x = 682.26 × 284.61
  4. Step 4: Simplify right side
    494.37x = 194,178.02
  5. Step 5: Solve for x
    x = 194,178.02/494.37
  6. Step 6: Final answer
    x = 392.78

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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.