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Finding the Fourth Proportional to 471.12, 649.48 and 408.84

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Solution

The fourth proportional to 471.12, 649.48 and 408.84 is: 563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.12 : 649.48 = 408.84 : x
  2. Step 2: Convert to fraction form
    471.12/649.48 = 408.84/x
  3. Step 3: Cross multiply
    471.12x = 649.48 × 408.84
  4. Step 4: Simplify right side
    471.12x = 265,533.40
  5. Step 5: Solve for x
    x = 265,533.40/471.12
  6. Step 6: Final answer
    x = 563.62

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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.