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Finding the Fourth Proportional to 411.55, 617.40 and 133.98

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Solution

The fourth proportional to 411.55, 617.40 and 133.98 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.55 : 617.40 = 133.98 : x
  2. Step 2: Convert to fraction form
    411.55/617.40 = 133.98/x
  3. Step 3: Cross multiply
    411.55x = 617.40 × 133.98
  4. Step 4: Simplify right side
    411.55x = 82,719.25
  5. Step 5: Solve for x
    x = 82,719.25/411.55
  6. Step 6: Final answer
    x = 200.99

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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.