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Finding the Fourth Proportional to 275.87, 412.59 and 206.62

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Solution

The fourth proportional to 275.87, 412.59 and 206.62 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.87 : 412.59 = 206.62 : x
  2. Step 2: Convert to fraction form
    275.87/412.59 = 206.62/x
  3. Step 3: Cross multiply
    275.87x = 412.59 × 206.62
  4. Step 4: Simplify right side
    275.87x = 85,249.35
  5. Step 5: Solve for x
    x = 85,249.35/275.87
  6. Step 6: Final answer
    x = 309.02

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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.