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Finding the Fourth Proportional to 470.74, 649.38 and 408.48

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Solution

The fourth proportional to 470.74, 649.38 and 408.48 is: 563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.74 : 649.38 = 408.48 : x
  2. Step 2: Convert to fraction form
    470.74/649.38 = 408.48/x
  3. Step 3: Cross multiply
    470.74x = 649.38 × 408.48
  4. Step 4: Simplify right side
    470.74x = 265,258.74
  5. Step 5: Solve for x
    x = 265,258.74/470.74
  6. Step 6: Final answer
    x = 563.49

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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.