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Finding the Fourth Proportional to 325.60, 489.60 and 272.80

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Solution

The fourth proportional to 325.60, 489.60 and 272.80 is: 410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.60 : 489.60 = 272.80 : x
  2. Step 2: Convert to fraction form
    325.60/489.60 = 272.80/x
  3. Step 3: Cross multiply
    325.60x = 489.60 × 272.80
  4. Step 4: Simplify right side
    325.60x = 133,562.88
  5. Step 5: Solve for x
    x = 133,562.88/325.60
  6. Step 6: Final answer
    x = 410.21

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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.