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Finding the Fourth Proportional to 411.57, 617.38 and 123

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Solution

The fourth proportional to 411.57, 617.38 and 123 is: 184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.57 : 617.38 = 123 : x
  2. Step 2: Convert to fraction form
    411.57/617.38 = 123/x
  3. Step 3: Cross multiply
    411.57x = 617.38 × 123
  4. Step 4: Simplify right side
    411.57x = 75,937.74
  5. Step 5: Solve for x
    x = 75,937.74/411.57
  6. Step 6: Final answer
    x = 184.51

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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.