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Finding the Fourth Proportional to 540.21, 809.73 and 231.87

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Solution

The fourth proportional to 540.21, 809.73 and 231.87 is: 347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.21 : 809.73 = 231.87 : x
  2. Step 2: Convert to fraction form
    540.21/809.73 = 231.87/x
  3. Step 3: Cross multiply
    540.21x = 809.73 × 231.87
  4. Step 4: Simplify right side
    540.21x = 187,752.10
  5. Step 5: Solve for x
    x = 187,752.10/540.21
  6. Step 6: Final answer
    x = 347.55

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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.