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Finding the Fourth Proportional to 258.86, 386.44 and 256.30

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Solution

The fourth proportional to 258.86, 386.44 and 256.30 is: 382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.86 : 386.44 = 256.30 : x
  2. Step 2: Convert to fraction form
    258.86/386.44 = 256.30/x
  3. Step 3: Cross multiply
    258.86x = 386.44 × 256.30
  4. Step 4: Simplify right side
    258.86x = 99,042.97
  5. Step 5: Solve for x
    x = 99,042.97/258.86
  6. Step 6: Final answer
    x = 382.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.