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Finding the Fourth Proportional to 494.50, 742.04 and 275.16

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Solution

The fourth proportional to 494.50, 742.04 and 275.16 is: 412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.50 : 742.04 = 275.16 : x
  2. Step 2: Convert to fraction form
    494.50/742.04 = 275.16/x
  3. Step 3: Cross multiply
    494.50x = 742.04 × 275.16
  4. Step 4: Simplify right side
    494.50x = 204,179.73
  5. Step 5: Solve for x
    x = 204,179.73/494.50
  6. Step 6: Final answer
    x = 412.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.