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Finding the Fourth Proportional to 471.28, 649.90 and 305.24

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Solution

The fourth proportional to 471.28, 649.90 and 305.24 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 649.90 = 305.24 : x
  2. Step 2: Convert to fraction form
    471.28/649.90 = 305.24/x
  3. Step 3: Cross multiply
    471.28x = 649.90 × 305.24
  4. Step 4: Simplify right side
    471.28x = 198,375.48
  5. Step 5: Solve for x
    x = 198,375.48/471.28
  6. Step 6: Final answer
    x = 420.93

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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.