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Finding the Fourth Proportional to 481.10, 722.26 and 409.42

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Solution

The fourth proportional to 481.10, 722.26 and 409.42 is: 614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.10 : 722.26 = 409.42 : x
  2. Step 2: Convert to fraction form
    481.10/722.26 = 409.42/x
  3. Step 3: Cross multiply
    481.10x = 722.26 × 409.42
  4. Step 4: Simplify right side
    481.10x = 295,707.69
  5. Step 5: Solve for x
    x = 295,707.69/481.10
  6. Step 6: Final answer
    x = 614.65

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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.