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Finding the Fourth Proportional to 540.81, 809.39 and 459.41

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Solution

The fourth proportional to 540.81, 809.39 and 459.41 is: 687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 809.39 = 459.41 : x
  2. Step 2: Convert to fraction form
    540.81/809.39 = 459.41/x
  3. Step 3: Cross multiply
    540.81x = 809.39 × 459.41
  4. Step 4: Simplify right side
    540.81x = 371,838.96
  5. Step 5: Solve for x
    x = 371,838.96/540.81
  6. Step 6: Final answer
    x = 687.56

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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.