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Finding the Fourth Proportional to 411.63, 617.55 and 123.06

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Solution

The fourth proportional to 411.63, 617.55 and 123.06 is: 184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.63 : 617.55 = 123.06 : x
  2. Step 2: Convert to fraction form
    411.63/617.55 = 123.06/x
  3. Step 3: Cross multiply
    411.63x = 617.55 × 123.06
  4. Step 4: Simplify right side
    411.63x = 75,995.70
  5. Step 5: Solve for x
    x = 75,995.70/411.63
  6. Step 6: Final answer
    x = 184.62

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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.