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Finding the Fourth Proportional to 320.53, 440.41 and 254.92

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Solution

The fourth proportional to 320.53, 440.41 and 254.92 is: 350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.53 : 440.41 = 254.92 : x
  2. Step 2: Convert to fraction form
    320.53/440.41 = 254.92/x
  3. Step 3: Cross multiply
    320.53x = 440.41 × 254.92
  4. Step 4: Simplify right side
    320.53x = 112,268.22
  5. Step 5: Solve for x
    x = 112,268.22/320.53
  6. Step 6: Final answer
    x = 350.26

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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.