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Finding the Fourth Proportional to 540.92, 745.44 and 385.40

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Solution

The fourth proportional to 540.92, 745.44 and 385.40 is: 531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.92 : 745.44 = 385.40 : x
  2. Step 2: Convert to fraction form
    540.92/745.44 = 385.40/x
  3. Step 3: Cross multiply
    540.92x = 745.44 × 385.40
  4. Step 4: Simplify right side
    540.92x = 287,292.99
  5. Step 5: Solve for x
    x = 287,292.99/540.92
  6. Step 6: Final answer
    x = 531.12

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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.