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Finding the Fourth Proportional to 408.89, 613.35 and 177.64

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Solution

The fourth proportional to 408.89, 613.35 and 177.64 is: 266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.89 : 613.35 = 177.64 : x
  2. Step 2: Convert to fraction form
    408.89/613.35 = 177.64/x
  3. Step 3: Cross multiply
    408.89x = 613.35 × 177.64
  4. Step 4: Simplify right side
    408.89x = 108,953.96
  5. Step 5: Solve for x
    x = 108,953.96/408.89
  6. Step 6: Final answer
    x = 266.46

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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.