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Finding the Fourth Proportional to 386.82, 580.41 and 242.82

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Solution

The fourth proportional to 386.82, 580.41 and 242.82 is: 364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 580.41 = 242.82 : x
  2. Step 2: Convert to fraction form
    386.82/580.41 = 242.82/x
  3. Step 3: Cross multiply
    386.82x = 580.41 × 242.82
  4. Step 4: Simplify right side
    386.82x = 140,935.16
  5. Step 5: Solve for x
    x = 140,935.16/386.82
  6. Step 6: Final answer
    x = 364.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.