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Finding the Fourth Proportional to 540.57, 809.94 and 425.76

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Solution

The fourth proportional to 540.57, 809.94 and 425.76 is: 637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.57 : 809.94 = 425.76 : x
  2. Step 2: Convert to fraction form
    540.57/809.94 = 425.76/x
  3. Step 3: Cross multiply
    540.57x = 809.94 × 425.76
  4. Step 4: Simplify right side
    540.57x = 344,840.05
  5. Step 5: Solve for x
    x = 344,840.05/540.57
  6. Step 6: Final answer
    x = 637.92

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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.