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Finding the Fourth Proportional to 393.26, 540.47 and 305.78

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Solution

The fourth proportional to 393.26, 540.47 and 305.78 is: 420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.26 : 540.47 = 305.78 : x
  2. Step 2: Convert to fraction form
    393.26/540.47 = 305.78/x
  3. Step 3: Cross multiply
    393.26x = 540.47 × 305.78
  4. Step 4: Simplify right side
    393.26x = 165,262.98
  5. Step 5: Solve for x
    x = 165,262.98/393.26
  6. Step 6: Final answer
    x = 420.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.