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Finding the Fourth Proportional to 411.76, 617.54 and 123.20

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Solution

The fourth proportional to 411.76, 617.54 and 123.20 is: 184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.76 : 617.54 = 123.20 : x
  2. Step 2: Convert to fraction form
    411.76/617.54 = 123.20/x
  3. Step 3: Cross multiply
    411.76x = 617.54 × 123.20
  4. Step 4: Simplify right side
    411.76x = 76,077.22
  5. Step 5: Solve for x
    x = 76,077.22/411.76
  6. Step 6: Final answer
    x = 184.76

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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.