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Finding the Fourth Proportional to 409.26, 613.89 and 178.08

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Solution

The fourth proportional to 409.26, 613.89 and 178.08 is: 267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.26 : 613.89 = 178.08 : x
  2. Step 2: Convert to fraction form
    409.26/613.89 = 178.08/x
  3. Step 3: Cross multiply
    409.26x = 613.89 × 178.08
  4. Step 4: Simplify right side
    409.26x = 109,321.53
  5. Step 5: Solve for x
    x = 109,321.53/409.26
  6. Step 6: Final answer
    x = 267.12

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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.