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Finding the Fourth Proportional to 470.54, 648.92 and 408.34

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Solution

The fourth proportional to 470.54, 648.92 and 408.34 is: 563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.54 : 648.92 = 408.34 : x
  2. Step 2: Convert to fraction form
    470.54/648.92 = 408.34/x
  3. Step 3: Cross multiply
    470.54x = 648.92 × 408.34
  4. Step 4: Simplify right side
    470.54x = 264,979.99
  5. Step 5: Solve for x
    x = 264,979.99/470.54
  6. Step 6: Final answer
    x = 563.14

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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.