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Finding the Fourth Proportional to 481.23, 721.32 and 188.64

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Solution

The fourth proportional to 481.23, 721.32 and 188.64 is: 282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.23 : 721.32 = 188.64 : x
  2. Step 2: Convert to fraction form
    481.23/721.32 = 188.64/x
  3. Step 3: Cross multiply
    481.23x = 721.32 × 188.64
  4. Step 4: Simplify right side
    481.23x = 136,070.45
  5. Step 5: Solve for x
    x = 136,070.45/481.23
  6. Step 6: Final answer
    x = 282.76

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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.