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Finding the Fourth Proportional to 423.27, 634.17 and 380.47

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Solution

The fourth proportional to 423.27, 634.17 and 380.47 is: 570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.27 : 634.17 = 380.47 : x
  2. Step 2: Convert to fraction form
    423.27/634.17 = 380.47/x
  3. Step 3: Cross multiply
    423.27x = 634.17 × 380.47
  4. Step 4: Simplify right side
    423.27x = 241,282.50
  5. Step 5: Solve for x
    x = 241,282.50/423.27
  6. Step 6: Final answer
    x = 570.04

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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.