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Finding the Fourth Proportional to 286.62, 430.17 and 217.99

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Solution

The fourth proportional to 286.62, 430.17 and 217.99 is: 327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.62 : 430.17 = 217.99 : x
  2. Step 2: Convert to fraction form
    286.62/430.17 = 217.99/x
  3. Step 3: Cross multiply
    286.62x = 430.17 × 217.99
  4. Step 4: Simplify right side
    286.62x = 93,772.76
  5. Step 5: Solve for x
    x = 93,772.76/286.62
  6. Step 6: Final answer
    x = 327.17

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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.