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Finding the Fourth Proportional to 540.50, 745.20 and 409.82

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Solution

The fourth proportional to 540.50, 745.20 and 409.82 is: 565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.50 : 745.20 = 409.82 : x
  2. Step 2: Convert to fraction form
    540.50/745.20 = 409.82/x
  3. Step 3: Cross multiply
    540.50x = 745.20 × 409.82
  4. Step 4: Simplify right side
    540.50x = 305,394.14
  5. Step 5: Solve for x
    x = 305,394.14/540.50
  6. Step 6: Final answer
    x = 565.03

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