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Finding the Fourth Proportional to 316.69, 474.20 and 254.69

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Solution

The fourth proportional to 316.69, 474.20 and 254.69 is: 381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.69 : 474.20 = 254.69 : x
  2. Step 2: Convert to fraction form
    316.69/474.20 = 254.69/x
  3. Step 3: Cross multiply
    316.69x = 474.20 × 254.69
  4. Step 4: Simplify right side
    316.69x = 120,770.35
  5. Step 5: Solve for x
    x = 120,770.35/316.69
  6. Step 6: Final answer
    x = 381.35

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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.