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Finding the Fourth Proportional to 576.20, 864.96 and 489.26

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Solution

The fourth proportional to 576.20, 864.96 and 489.26 is: 734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.20 : 864.96 = 489.26 : x
  2. Step 2: Convert to fraction form
    576.20/864.96 = 489.26/x
  3. Step 3: Cross multiply
    576.20x = 864.96 × 489.26
  4. Step 4: Simplify right side
    576.20x = 423,190.33
  5. Step 5: Solve for x
    x = 423,190.33/576.20
  6. Step 6: Final answer
    x = 734.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.