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Finding the Fourth Proportional to 296.24, 409.17 and 217.44

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Solution

The fourth proportional to 296.24, 409.17 and 217.44 is: 300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 409.17 = 217.44 : x
  2. Step 2: Convert to fraction form
    296.24/409.17 = 217.44/x
  3. Step 3: Cross multiply
    296.24x = 409.17 × 217.44
  4. Step 4: Simplify right side
    296.24x = 88,970.67
  5. Step 5: Solve for x
    x = 88,970.67/296.24
  6. Step 6: Final answer
    x = 300.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.