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Finding the Fourth Proportional to 540.20, 809.10 and 437.24

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Solution

The fourth proportional to 540.20, 809.10 and 437.24 is: 654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.20 : 809.10 = 437.24 : x
  2. Step 2: Convert to fraction form
    540.20/809.10 = 437.24/x
  3. Step 3: Cross multiply
    540.20x = 809.10 × 437.24
  4. Step 4: Simplify right side
    540.20x = 353,770.88
  5. Step 5: Solve for x
    x = 353,770.88/540.20
  6. Step 6: Final answer
    x = 654.89

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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.