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Finding the Fourth Proportional to 540.73, 809.27 and 403.44

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Solution

The fourth proportional to 540.73, 809.27 and 403.44 is: 603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.73 : 809.27 = 403.44 : x
  2. Step 2: Convert to fraction form
    540.73/809.27 = 403.44/x
  3. Step 3: Cross multiply
    540.73x = 809.27 × 403.44
  4. Step 4: Simplify right side
    540.73x = 326,491.89
  5. Step 5: Solve for x
    x = 326,491.89/540.73
  6. Step 6: Final answer
    x = 603.80

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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.