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Finding the Fourth Proportional to 316.28, 436.49 and 205.77

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Solution

The fourth proportional to 316.28, 436.49 and 205.77 is: 283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.28 : 436.49 = 205.77 : x
  2. Step 2: Convert to fraction form
    316.28/436.49 = 205.77/x
  3. Step 3: Cross multiply
    316.28x = 436.49 × 205.77
  4. Step 4: Simplify right side
    316.28x = 89,815.52
  5. Step 5: Solve for x
    x = 89,815.52/316.28
  6. Step 6: Final answer
    x = 283.98

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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.