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Finding the Fourth Proportional to 540.14, 745.42 and 408.92

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Solution

The fourth proportional to 540.14, 745.42 and 408.92 is: 564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 745.42 = 408.92 : x
  2. Step 2: Convert to fraction form
    540.14/745.42 = 408.92/x
  3. Step 3: Cross multiply
    540.14x = 745.42 × 408.92
  4. Step 4: Simplify right side
    540.14x = 304,817.15
  5. Step 5: Solve for x
    x = 304,817.15/540.14
  6. Step 6: Final answer
    x = 564.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.