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Finding the Fourth Proportional to 409.08, 613.66 and 120.50

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Solution

The fourth proportional to 409.08, 613.66 and 120.50 is: 180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 613.66 = 120.50 : x
  2. Step 2: Convert to fraction form
    409.08/613.66 = 120.50/x
  3. Step 3: Cross multiply
    409.08x = 613.66 × 120.50
  4. Step 4: Simplify right side
    409.08x = 73,946.03
  5. Step 5: Solve for x
    x = 73,946.03/409.08
  6. Step 6: Final answer
    x = 180.76

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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.