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Finding the Fourth Proportional to 489.97, 734.37 and 229.63

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Solution

The fourth proportional to 489.97, 734.37 and 229.63 is: 344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.97 : 734.37 = 229.63 : x
  2. Step 2: Convert to fraction form
    489.97/734.37 = 229.63/x
  3. Step 3: Cross multiply
    489.97x = 734.37 × 229.63
  4. Step 4: Simplify right side
    489.97x = 168,633.38
  5. Step 5: Solve for x
    x = 168,633.38/489.97
  6. Step 6: Final answer
    x = 344.17

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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.