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Finding the Fourth Proportional to 489.53, 733.79 and 181.19

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Solution

The fourth proportional to 489.53, 733.79 and 181.19 is: 271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.53 : 733.79 = 181.19 : x
  2. Step 2: Convert to fraction form
    489.53/733.79 = 181.19/x
  3. Step 3: Cross multiply
    489.53x = 733.79 × 181.19
  4. Step 4: Simplify right side
    489.53x = 132,950.84
  5. Step 5: Solve for x
    x = 132,950.84/489.53
  6. Step 6: Final answer
    x = 271.59

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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.