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Finding the Fourth Proportional to 492.44, 743.36 and 489.71

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Solution

The fourth proportional to 492.44, 743.36 and 489.71 is: 739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.44 : 743.36 = 489.71 : x
  2. Step 2: Convert to fraction form
    492.44/743.36 = 489.71/x
  3. Step 3: Cross multiply
    492.44x = 743.36 × 489.71
  4. Step 4: Simplify right side
    492.44x = 364,024.66
  5. Step 5: Solve for x
    x = 364,024.66/492.44
  6. Step 6: Final answer
    x = 739.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.