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Finding the Fourth Proportional to 411.68, 617.52 and 123.08

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Solution

The fourth proportional to 411.68, 617.52 and 123.08 is: 184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.68 : 617.52 = 123.08 : x
  2. Step 2: Convert to fraction form
    411.68/617.52 = 123.08/x
  3. Step 3: Cross multiply
    411.68x = 617.52 × 123.08
  4. Step 4: Simplify right side
    411.68x = 76,004.36
  5. Step 5: Solve for x
    x = 76,004.36/411.68
  6. Step 6: Final answer
    x = 184.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.