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Finding the Fourth Proportional to 496.27, 683.29 and 421.43

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Solution

The fourth proportional to 496.27, 683.29 and 421.43 is: 580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.27 : 683.29 = 421.43 : x
  2. Step 2: Convert to fraction form
    496.27/683.29 = 421.43/x
  3. Step 3: Cross multiply
    496.27x = 683.29 × 421.43
  4. Step 4: Simplify right side
    496.27x = 287,955.49
  5. Step 5: Solve for x
    x = 287,955.49/496.27
  6. Step 6: Final answer
    x = 580.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.