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Finding the Fourth Proportional to 316.09, 436.02 and 217.84

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Solution

The fourth proportional to 316.09, 436.02 and 217.84 is: 300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.09 : 436.02 = 217.84 : x
  2. Step 2: Convert to fraction form
    316.09/436.02 = 217.84/x
  3. Step 3: Cross multiply
    316.09x = 436.02 × 217.84
  4. Step 4: Simplify right side
    316.09x = 94,982.60
  5. Step 5: Solve for x
    x = 94,982.60/316.09
  6. Step 6: Final answer
    x = 300.49

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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.