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Finding the Fourth Proportional to 275.82, 412.97 and 217.77

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Solution

The fourth proportional to 275.82, 412.97 and 217.77 is: 326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.82 : 412.97 = 217.77 : x
  2. Step 2: Convert to fraction form
    275.82/412.97 = 217.77/x
  3. Step 3: Cross multiply
    275.82x = 412.97 × 217.77
  4. Step 4: Simplify right side
    275.82x = 89,931.39
  5. Step 5: Solve for x
    x = 89,931.39/275.82
  6. Step 6: Final answer
    x = 326.05

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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.