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Finding the Fourth Proportional to 540.92, 746.43 and 331.01

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Solution

The fourth proportional to 540.92, 746.43 and 331.01 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.92 : 746.43 = 331.01 : x
  2. Step 2: Convert to fraction form
    540.92/746.43 = 331.01/x
  3. Step 3: Cross multiply
    540.92x = 746.43 × 331.01
  4. Step 4: Simplify right side
    540.92x = 247,074.03
  5. Step 5: Solve for x
    x = 247,074.03/540.92
  6. Step 6: Final answer
    x = 456.77

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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.