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Finding the Fourth Proportional to 420.23, 580.01 and 254.41

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Solution

The fourth proportional to 420.23, 580.01 and 254.41 is: 351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.23 : 580.01 = 254.41 : x
  2. Step 2: Convert to fraction form
    420.23/580.01 = 254.41/x
  3. Step 3: Cross multiply
    420.23x = 580.01 × 254.41
  4. Step 4: Simplify right side
    420.23x = 147,557.44
  5. Step 5: Solve for x
    x = 147,557.44/420.23
  6. Step 6: Final answer
    x = 351.14

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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.