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Finding the Fourth Proportional to 408.62, 613.13 and 177.72

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Solution

The fourth proportional to 408.62, 613.13 and 177.72 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.62 : 613.13 = 177.72 : x
  2. Step 2: Convert to fraction form
    408.62/613.13 = 177.72/x
  3. Step 3: Cross multiply
    408.62x = 613.13 × 177.72
  4. Step 4: Simplify right side
    408.62x = 108,964.58
  5. Step 5: Solve for x
    x = 108,964.58/408.62
  6. Step 6: Final answer
    x = 266.67

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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.