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Finding the Fourth Proportional to 442.25, 610.31 and 258.25

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Solution

The fourth proportional to 442.25, 610.31 and 258.25 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 610.31 = 258.25 : x
  2. Step 2: Convert to fraction form
    442.25/610.31 = 258.25/x
  3. Step 3: Cross multiply
    442.25x = 610.31 × 258.25
  4. Step 4: Simplify right side
    442.25x = 157,612.56
  5. Step 5: Solve for x
    x = 157,612.56/442.25
  6. Step 6: Final answer
    x = 356.39

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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.