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Finding the Fourth Proportional to 434.26, 649.92 and 422.56

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Solution

The fourth proportional to 434.26, 649.92 and 422.56 is: 632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 649.92 = 422.56 : x
  2. Step 2: Convert to fraction form
    434.26/649.92 = 422.56/x
  3. Step 3: Cross multiply
    434.26x = 649.92 × 422.56
  4. Step 4: Simplify right side
    434.26x = 274,630.20
  5. Step 5: Solve for x
    x = 274,630.20/434.26
  6. Step 6: Final answer
    x = 632.41

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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.