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Finding the Fourth Proportional to 395.93, 546.45 and 248.58

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Solution

The fourth proportional to 395.93, 546.45 and 248.58 is: 343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.93 : 546.45 = 248.58 : x
  2. Step 2: Convert to fraction form
    395.93/546.45 = 248.58/x
  3. Step 3: Cross multiply
    395.93x = 546.45 × 248.58
  4. Step 4: Simplify right side
    395.93x = 135,835.61
  5. Step 5: Solve for x
    x = 135,835.61/395.93
  6. Step 6: Final answer
    x = 343.08

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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.