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Finding the Fourth Proportional to 420.46, 580.11 and 252.48

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Solution

The fourth proportional to 420.46, 580.11 and 252.48 is: 348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.46 : 580.11 = 252.48 : x
  2. Step 2: Convert to fraction form
    420.46/580.11 = 252.48/x
  3. Step 3: Cross multiply
    420.46x = 580.11 × 252.48
  4. Step 4: Simplify right side
    420.46x = 146,468.82
  5. Step 5: Solve for x
    x = 146,468.82/420.46
  6. Step 6: Final answer
    x = 348.36

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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.