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Finding the Fourth Proportional to 395.18, 540.28 and 380.06

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Solution

The fourth proportional to 395.18, 540.28 and 380.06 is: 519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.18 : 540.28 = 380.06 : x
  2. Step 2: Convert to fraction form
    395.18/540.28 = 380.06/x
  3. Step 3: Cross multiply
    395.18x = 540.28 × 380.06
  4. Step 4: Simplify right side
    395.18x = 205,338.82
  5. Step 5: Solve for x
    x = 205,338.82/395.18
  6. Step 6: Final answer
    x = 519.61

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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.