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Finding the Fourth Proportional to 494.72, 682.62 and 364.04

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Solution

The fourth proportional to 494.72, 682.62 and 364.04 is: 502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.72 : 682.62 = 364.04 : x
  2. Step 2: Convert to fraction form
    494.72/682.62 = 364.04/x
  3. Step 3: Cross multiply
    494.72x = 682.62 × 364.04
  4. Step 4: Simplify right side
    494.72x = 248,500.98
  5. Step 5: Solve for x
    x = 248,500.98/494.72
  6. Step 6: Final answer
    x = 502.31

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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.