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Finding the Fourth Proportional to 395.77, 546.24 and 248.30

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Solution

The fourth proportional to 395.77, 546.24 and 248.30 is: 342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.77 : 546.24 = 248.30 : x
  2. Step 2: Convert to fraction form
    395.77/546.24 = 248.30/x
  3. Step 3: Cross multiply
    395.77x = 546.24 × 248.30
  4. Step 4: Simplify right side
    395.77x = 135,628.66
  5. Step 5: Solve for x
    x = 135,628.66/395.77
  6. Step 6: Final answer
    x = 342.70

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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.