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Finding the Fourth Proportional to 420.50, 580.35 and 254.78

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Solution

The fourth proportional to 420.50, 580.35 and 254.78 is: 351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.50 : 580.35 = 254.78 : x
  2. Step 2: Convert to fraction form
    420.50/580.35 = 254.78/x
  3. Step 3: Cross multiply
    420.50x = 580.35 × 254.78
  4. Step 4: Simplify right side
    420.50x = 147,857.40
  5. Step 5: Solve for x
    x = 147,857.40/420.50
  6. Step 6: Final answer
    x = 351.62

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