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Finding the Fourth Proportional to 408.54, 612.81 and 116.05

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Solution

The fourth proportional to 408.54, 612.81 and 116.05 is: 174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.54 : 612.81 = 116.05 : x
  2. Step 2: Convert to fraction form
    408.54/612.81 = 116.05/x
  3. Step 3: Cross multiply
    408.54x = 612.81 × 116.05
  4. Step 4: Simplify right side
    408.54x = 71,116.60
  5. Step 5: Solve for x
    x = 71,116.60/408.54
  6. Step 6: Final answer
    x = 174.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.