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Finding the Fourth Proportional to 411.95, 617.94 and 138.07

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Solution

The fourth proportional to 411.95, 617.94 and 138.07 is: 207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.95 : 617.94 = 138.07 : x
  2. Step 2: Convert to fraction form
    411.95/617.94 = 138.07/x
  3. Step 3: Cross multiply
    411.95x = 617.94 × 138.07
  4. Step 4: Simplify right side
    411.95x = 85,317.43
  5. Step 5: Solve for x
    x = 85,317.43/411.95
  6. Step 6: Final answer
    x = 207.11

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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.