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Finding the Fourth Proportional to 408.07, 561.49 and 398.35

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Solution

The fourth proportional to 408.07, 561.49 and 398.35 is: 548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.07 : 561.49 = 398.35 : x
  2. Step 2: Convert to fraction form
    408.07/561.49 = 398.35/x
  3. Step 3: Cross multiply
    408.07x = 561.49 × 398.35
  4. Step 4: Simplify right side
    408.07x = 223,669.54
  5. Step 5: Solve for x
    x = 223,669.54/408.07
  6. Step 6: Final answer
    x = 548.12

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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.