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Finding the Fourth Proportional to 395.58, 546.02 and 248.12

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Solution

The fourth proportional to 395.58, 546.02 and 248.12 is: 342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.58 : 546.02 = 248.12 : x
  2. Step 2: Convert to fraction form
    395.58/546.02 = 248.12/x
  3. Step 3: Cross multiply
    395.58x = 546.02 × 248.12
  4. Step 4: Simplify right side
    395.58x = 135,478.48
  5. Step 5: Solve for x
    x = 135,478.48/395.58
  6. Step 6: Final answer
    x = 342.48

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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.