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Finding the Fourth Proportional to 540.40, 809.53 and 280.57

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Solution

The fourth proportional to 540.40, 809.53 and 280.57 is: 420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.40 : 809.53 = 280.57 : x
  2. Step 2: Convert to fraction form
    540.40/809.53 = 280.57/x
  3. Step 3: Cross multiply
    540.40x = 809.53 × 280.57
  4. Step 4: Simplify right side
    540.40x = 227,125.78
  5. Step 5: Solve for x
    x = 227,125.78/540.40
  6. Step 6: Final answer
    x = 420.30

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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.