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Finding the Fourth Proportional to 395.66, 546.20 and 248.37

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Solution

The fourth proportional to 395.66, 546.20 and 248.37 is: 342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.66 : 546.20 = 248.37 : x
  2. Step 2: Convert to fraction form
    395.66/546.20 = 248.37/x
  3. Step 3: Cross multiply
    395.66x = 546.20 × 248.37
  4. Step 4: Simplify right side
    395.66x = 135,658.45
  5. Step 5: Solve for x
    x = 135,658.45/395.66
  6. Step 6: Final answer
    x = 342.87

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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.