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Finding the Fourth Proportional to 409.46, 613.78 and 178.40

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Solution

The fourth proportional to 409.46, 613.78 and 178.40 is: 267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.46 : 613.78 = 178.40 : x
  2. Step 2: Convert to fraction form
    409.46/613.78 = 178.40/x
  3. Step 3: Cross multiply
    409.46x = 613.78 × 178.40
  4. Step 4: Simplify right side
    409.46x = 109,499.44
  5. Step 5: Solve for x
    x = 109,499.44/409.46
  6. Step 6: Final answer
    x = 267.43

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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.