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Finding the Fourth Proportional to 494.82, 742.69 and 251.52

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Solution

The fourth proportional to 494.82, 742.69 and 251.52 is: 377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 742.69 = 251.52 : x
  2. Step 2: Convert to fraction form
    494.82/742.69 = 251.52/x
  3. Step 3: Cross multiply
    494.82x = 742.69 × 251.52
  4. Step 4: Simplify right side
    494.82x = 186,801.39
  5. Step 5: Solve for x
    x = 186,801.39/494.82
  6. Step 6: Final answer
    x = 377.51

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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.