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Finding the Fourth Proportional to 600, 826.56 and 489.60

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Solution

The fourth proportional to 600, 826.56 and 489.60 is: 674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 826.56 = 489.60 : x
  2. Step 2: Convert to fraction form
    600/826.56 = 489.60/x
  3. Step 3: Cross multiply
    600x = 826.56 × 489.60
  4. Step 4: Simplify right side
    600x = 404,683.78
  5. Step 5: Solve for x
    x = 404,683.78/600
  6. Step 6: Final answer
    x = 674.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.