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Finding the Fourth Proportional to 471.49, 649.28 and 415.19

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Solution

The fourth proportional to 471.49, 649.28 and 415.19 is: 571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.49 : 649.28 = 415.19 : x
  2. Step 2: Convert to fraction form
    471.49/649.28 = 415.19/x
  3. Step 3: Cross multiply
    471.49x = 649.28 × 415.19
  4. Step 4: Simplify right side
    471.49x = 269,577.22
  5. Step 5: Solve for x
    x = 269,577.22/471.49
  6. Step 6: Final answer
    x = 571.76

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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.