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Finding the Fourth Proportional to 540.70, 809.51 and 420.37

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Solution

The fourth proportional to 540.70, 809.51 and 420.37 is: 629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.70 : 809.51 = 420.37 : x
  2. Step 2: Convert to fraction form
    540.70/809.51 = 420.37/x
  3. Step 3: Cross multiply
    540.70x = 809.51 × 420.37
  4. Step 4: Simplify right side
    540.70x = 340,289.67
  5. Step 5: Solve for x
    x = 340,289.67/540.70
  6. Step 6: Final answer
    x = 629.36

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Why These Related Problems?

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