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Finding the Fourth Proportional to 540.06, 809.76 and 251.22

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Solution

The fourth proportional to 540.06, 809.76 and 251.22 is: 376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.06 : 809.76 = 251.22 : x
  2. Step 2: Convert to fraction form
    540.06/809.76 = 251.22/x
  3. Step 3: Cross multiply
    540.06x = 809.76 × 251.22
  4. Step 4: Simplify right side
    540.06x = 203,427.91
  5. Step 5: Solve for x
    x = 203,427.91/540.06
  6. Step 6: Final answer
    x = 376.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.