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Finding the Fourth Proportional to 540.86, 745.94 and 344.30

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Solution

The fourth proportional to 540.86, 745.94 and 344.30 is: 474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.86 : 745.94 = 344.30 : x
  2. Step 2: Convert to fraction form
    540.86/745.94 = 344.30/x
  3. Step 3: Cross multiply
    540.86x = 745.94 × 344.30
  4. Step 4: Simplify right side
    540.86x = 256,824.27
  5. Step 5: Solve for x
    x = 256,824.27/540.86
  6. Step 6: Final answer
    x = 474.85

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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.