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Finding the Fourth Proportional to 489.48, 734.57 and 181.34

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Solution

The fourth proportional to 489.48, 734.57 and 181.34 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.48 : 734.57 = 181.34 : x
  2. Step 2: Convert to fraction form
    489.48/734.57 = 181.34/x
  3. Step 3: Cross multiply
    489.48x = 734.57 × 181.34
  4. Step 4: Simplify right side
    489.48x = 133,205.78
  5. Step 5: Solve for x
    x = 133,205.78/489.48
  6. Step 6: Final answer
    x = 272.14

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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.