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Finding the Fourth Proportional to 258.77, 385.85 and 254.15

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Solution

The fourth proportional to 258.77, 385.85 and 254.15 is: 378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.77 : 385.85 = 254.15 : x
  2. Step 2: Convert to fraction form
    258.77/385.85 = 254.15/x
  3. Step 3: Cross multiply
    258.77x = 385.85 × 254.15
  4. Step 4: Simplify right side
    258.77x = 98,064.53
  5. Step 5: Solve for x
    x = 98,064.53/258.77
  6. Step 6: Final answer
    x = 378.97

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Why These Related Problems?

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