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Finding the Fourth Proportional to 316.24, 436.22 and 217.82

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Solution

The fourth proportional to 316.24, 436.22 and 217.82 is: 300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.24 : 436.22 = 217.82 : x
  2. Step 2: Convert to fraction form
    316.24/436.22 = 217.82/x
  3. Step 3: Cross multiply
    316.24x = 436.22 × 217.82
  4. Step 4: Simplify right side
    316.24x = 95,017.44
  5. Step 5: Solve for x
    x = 95,017.44/316.24
  6. Step 6: Final answer
    x = 300.46

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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.