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Finding the Fourth Proportional to 273.34, 409.38 and 217.24

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Solution

The fourth proportional to 273.34, 409.38 and 217.24 is: 325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.34 : 409.38 = 217.24 : x
  2. Step 2: Convert to fraction form
    273.34/409.38 = 217.24/x
  3. Step 3: Cross multiply
    273.34x = 409.38 × 217.24
  4. Step 4: Simplify right side
    273.34x = 88,933.71
  5. Step 5: Solve for x
    x = 88,933.71/273.34
  6. Step 6: Final answer
    x = 325.36

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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.