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Finding the Fourth Proportional to 411.65, 617.40 and 189.22

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Solution

The fourth proportional to 411.65, 617.40 and 189.22 is: 283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.65 : 617.40 = 189.22 : x
  2. Step 2: Convert to fraction form
    411.65/617.40 = 189.22/x
  3. Step 3: Cross multiply
    411.65x = 617.40 × 189.22
  4. Step 4: Simplify right side
    411.65x = 116,825.03
  5. Step 5: Solve for x
    x = 116,825.03/411.65
  6. Step 6: Final answer
    x = 283.80

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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.