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Finding the Fourth Proportional to 494.45, 682.41 and 284.69

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Solution

The fourth proportional to 494.45, 682.41 and 284.69 is: 392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.45 : 682.41 = 284.69 : x
  2. Step 2: Convert to fraction form
    494.45/682.41 = 284.69/x
  3. Step 3: Cross multiply
    494.45x = 682.41 × 284.69
  4. Step 4: Simplify right side
    494.45x = 194,275.30
  5. Step 5: Solve for x
    x = 194,275.30/494.45
  6. Step 6: Final answer
    x = 392.91

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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.