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Finding the Fourth Proportional to 540.60, 745.74 and 409.38

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Solution

The fourth proportional to 540.60, 745.74 and 409.38 is: 564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.60 : 745.74 = 409.38 : x
  2. Step 2: Convert to fraction form
    540.60/745.74 = 409.38/x
  3. Step 3: Cross multiply
    540.60x = 745.74 × 409.38
  4. Step 4: Simplify right side
    540.60x = 305,291.04
  5. Step 5: Solve for x
    x = 305,291.04/540.60
  6. Step 6: Final answer
    x = 564.73

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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.