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Finding the Fourth Proportional to 409.18, 613.71 and 120.70

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Solution

The fourth proportional to 409.18, 613.71 and 120.70 is: 181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.18 : 613.71 = 120.70 : x
  2. Step 2: Convert to fraction form
    409.18/613.71 = 120.70/x
  3. Step 3: Cross multiply
    409.18x = 613.71 × 120.70
  4. Step 4: Simplify right side
    409.18x = 74,074.80
  5. Step 5: Solve for x
    x = 74,074.80/409.18
  6. Step 6: Final answer
    x = 181.03

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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.