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Finding the Fourth Proportional to 420.26, 580 and 254.46

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Solution

The fourth proportional to 420.26, 580 and 254.46 is: 351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.26 : 580 = 254.46 : x
  2. Step 2: Convert to fraction form
    420.26/580 = 254.46/x
  3. Step 3: Cross multiply
    420.26x = 580 × 254.46
  4. Step 4: Simplify right side
    420.26x = 147,586.80
  5. Step 5: Solve for x
    x = 147,586.80/420.26
  6. Step 6: Final answer
    x = 351.18

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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.