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Finding the Fourth Proportional to 383.69, 574.27 and 272.29

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Solution

The fourth proportional to 383.69, 574.27 and 272.29 is: 407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.69 : 574.27 = 272.29 : x
  2. Step 2: Convert to fraction form
    383.69/574.27 = 272.29/x
  3. Step 3: Cross multiply
    383.69x = 574.27 × 272.29
  4. Step 4: Simplify right side
    383.69x = 156,367.98
  5. Step 5: Solve for x
    x = 156,367.98/383.69
  6. Step 6: Final answer
    x = 407.54

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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.