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Finding the Fourth Proportional to 494.30, 682.40 and 369.91

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Solution

The fourth proportional to 494.30, 682.40 and 369.91 is: 510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.30 : 682.40 = 369.91 : x
  2. Step 2: Convert to fraction form
    494.30/682.40 = 369.91/x
  3. Step 3: Cross multiply
    494.30x = 682.40 × 369.91
  4. Step 4: Simplify right side
    494.30x = 252,424.88
  5. Step 5: Solve for x
    x = 252,424.88/494.30
  6. Step 6: Final answer
    x = 510.68

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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.