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Finding the Fourth Proportional to 395.76, 546.42 and 248.46

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Solution

The fourth proportional to 395.76, 546.42 and 248.46 is: 343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.76 : 546.42 = 248.46 : x
  2. Step 2: Convert to fraction form
    395.76/546.42 = 248.46/x
  3. Step 3: Cross multiply
    395.76x = 546.42 × 248.46
  4. Step 4: Simplify right side
    395.76x = 135,763.51
  5. Step 5: Solve for x
    x = 135,763.51/395.76
  6. Step 6: Final answer
    x = 343.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.