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Finding the Fourth Proportional to 316.96, 436.52 and 255.94

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Solution

The fourth proportional to 316.96, 436.52 and 255.94 is: 352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.96 : 436.52 = 255.94 : x
  2. Step 2: Convert to fraction form
    316.96/436.52 = 255.94/x
  3. Step 3: Cross multiply
    316.96x = 436.52 × 255.94
  4. Step 4: Simplify right side
    316.96x = 111,722.93
  5. Step 5: Solve for x
    x = 111,722.93/316.96
  6. Step 6: Final answer
    x = 352.48

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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.