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Finding the Fourth Proportional to 421.26, 580.80 and 310.54

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Solution

The fourth proportional to 421.26, 580.80 and 310.54 is: 428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.26 : 580.80 = 310.54 : x
  2. Step 2: Convert to fraction form
    421.26/580.80 = 310.54/x
  3. Step 3: Cross multiply
    421.26x = 580.80 × 310.54
  4. Step 4: Simplify right side
    421.26x = 180,361.63
  5. Step 5: Solve for x
    x = 180,361.63/421.26
  6. Step 6: Final answer
    x = 428.15

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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.