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Finding the Fourth Proportional to 494.29, 741.33 and 185.97

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Solution

The fourth proportional to 494.29, 741.33 and 185.97 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.29 : 741.33 = 185.97 : x
  2. Step 2: Convert to fraction form
    494.29/741.33 = 185.97/x
  3. Step 3: Cross multiply
    494.29x = 741.33 × 185.97
  4. Step 4: Simplify right side
    494.29x = 137,865.14
  5. Step 5: Solve for x
    x = 137,865.14/494.29
  6. Step 6: Final answer
    x = 278.92

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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.