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Finding the Fourth Proportional to 494.20, 741.76 and 250.92

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Solution

The fourth proportional to 494.20, 741.76 and 250.92 is: 376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 741.76 = 250.92 : x
  2. Step 2: Convert to fraction form
    494.20/741.76 = 250.92/x
  3. Step 3: Cross multiply
    494.20x = 741.76 × 250.92
  4. Step 4: Simplify right side
    494.20x = 186,122.42
  5. Step 5: Solve for x
    x = 186,122.42/494.20
  6. Step 6: Final answer
    x = 376.61

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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.