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Finding the Fourth Proportional to 471.73, 649.36 and 408.69

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Solution

The fourth proportional to 471.73, 649.36 and 408.69 is: 562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.73 : 649.36 = 408.69 : x
  2. Step 2: Convert to fraction form
    471.73/649.36 = 408.69/x
  3. Step 3: Cross multiply
    471.73x = 649.36 × 408.69
  4. Step 4: Simplify right side
    471.73x = 265,386.94
  5. Step 5: Solve for x
    x = 265,386.94/471.73
  6. Step 6: Final answer
    x = 562.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.