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Finding the Fourth Proportional to 494.35, 682.25 and 284.56

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Solution

The fourth proportional to 494.35, 682.25 and 284.56 is: 392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.35 : 682.25 = 284.56 : x
  2. Step 2: Convert to fraction form
    494.35/682.25 = 284.56/x
  3. Step 3: Cross multiply
    494.35x = 682.25 × 284.56
  4. Step 4: Simplify right side
    494.35x = 194,141.06
  5. Step 5: Solve for x
    x = 194,141.06/494.35
  6. Step 6: Final answer
    x = 392.72

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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.