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Finding the Fourth Proportional to 481.60, 722.38 and 173.47

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Solution

The fourth proportional to 481.60, 722.38 and 173.47 is: 260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.60 : 722.38 = 173.47 : x
  2. Step 2: Convert to fraction form
    481.60/722.38 = 173.47/x
  3. Step 3: Cross multiply
    481.60x = 722.38 × 173.47
  4. Step 4: Simplify right side
    481.60x = 125,311.26
  5. Step 5: Solve for x
    x = 125,311.26/481.60
  6. Step 6: Final answer
    x = 260.20

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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.