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Finding the Fourth Proportional to 411.87, 617.58 and 206.40

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Solution

The fourth proportional to 411.87, 617.58 and 206.40 is: 309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.87 : 617.58 = 206.40 : x
  2. Step 2: Convert to fraction form
    411.87/617.58 = 206.40/x
  3. Step 3: Cross multiply
    411.87x = 617.58 × 206.40
  4. Step 4: Simplify right side
    411.87x = 127,468.51
  5. Step 5: Solve for x
    x = 127,468.51/411.87
  6. Step 6: Final answer
    x = 309.49

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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.