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Finding the Fourth Proportional to 258.62, 354.79 and 254.30

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Solution

The fourth proportional to 258.62, 354.79 and 254.30 is: 348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.62 : 354.79 = 254.30 : x
  2. Step 2: Convert to fraction form
    258.62/354.79 = 254.30/x
  3. Step 3: Cross multiply
    258.62x = 354.79 × 254.30
  4. Step 4: Simplify right side
    258.62x = 90,223.10
  5. Step 5: Solve for x
    x = 90,223.10/258.62
  6. Step 6: Final answer
    x = 348.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.