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Finding the Fourth Proportional to 481.76, 722.70 and 189.20

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Solution

The fourth proportional to 481.76, 722.70 and 189.20 is: 283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.76 : 722.70 = 189.20 : x
  2. Step 2: Convert to fraction form
    481.76/722.70 = 189.20/x
  3. Step 3: Cross multiply
    481.76x = 722.70 × 189.20
  4. Step 4: Simplify right side
    481.76x = 136,734.84
  5. Step 5: Solve for x
    x = 136,734.84/481.76
  6. Step 6: Final answer
    x = 283.82

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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.