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Finding the Fourth Proportional to 489.47, 734.25 and 181.41

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Solution

The fourth proportional to 489.47, 734.25 and 181.41 is: 272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.47 : 734.25 = 181.41 : x
  2. Step 2: Convert to fraction form
    489.47/734.25 = 181.41/x
  3. Step 3: Cross multiply
    489.47x = 734.25 × 181.41
  4. Step 4: Simplify right side
    489.47x = 133,200.29
  5. Step 5: Solve for x
    x = 133,200.29/489.47
  6. Step 6: Final answer
    x = 272.13

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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.