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Finding the Fourth Proportional to 316.80, 473.76 and 271.71

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Solution

The fourth proportional to 316.80, 473.76 and 271.71 is: 406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 473.76 = 271.71 : x
  2. Step 2: Convert to fraction form
    316.80/473.76 = 271.71/x
  3. Step 3: Cross multiply
    316.80x = 473.76 × 271.71
  4. Step 4: Simplify right side
    316.80x = 128,725.33
  5. Step 5: Solve for x
    x = 128,725.33/316.80
  6. Step 6: Final answer
    x = 406.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.