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Finding the Fourth Proportional to 411.59, 617.57 and 206.18

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Solution

The fourth proportional to 411.59, 617.57 and 206.18 is: 309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.59 : 617.57 = 206.18 : x
  2. Step 2: Convert to fraction form
    411.59/617.57 = 206.18/x
  3. Step 3: Cross multiply
    411.59x = 617.57 × 206.18
  4. Step 4: Simplify right side
    411.59x = 127,328.01
  5. Step 5: Solve for x
    x = 127,328.01/411.59
  6. Step 6: Final answer
    x = 309.36

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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.