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Finding the Fourth Proportional to 481.92, 719.68 and 456.96

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Solution

The fourth proportional to 481.92, 719.68 and 456.96 is: 682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 719.68 = 456.96 : x
  2. Step 2: Convert to fraction form
    481.92/719.68 = 456.96/x
  3. Step 3: Cross multiply
    481.92x = 719.68 × 456.96
  4. Step 4: Simplify right side
    481.92x = 328,864.97
  5. Step 5: Solve for x
    x = 328,864.97/481.92
  6. Step 6: Final answer
    x = 682.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.