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Finding the Fourth Proportional to 460.57, 690.45 and 217.27

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Solution

The fourth proportional to 460.57, 690.45 and 217.27 is: 325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.57 : 690.45 = 217.27 : x
  2. Step 2: Convert to fraction form
    460.57/690.45 = 217.27/x
  3. Step 3: Cross multiply
    460.57x = 690.45 × 217.27
  4. Step 4: Simplify right side
    460.57x = 150,010.62
  5. Step 5: Solve for x
    x = 150,010.62/460.57
  6. Step 6: Final answer
    x = 325.71

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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.