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Finding the Fourth Proportional to 610.25, 842.15 and 334.25

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Solution

The fourth proportional to 610.25, 842.15 and 334.25 is: 461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.25 : 842.15 = 334.25 : x
  2. Step 2: Convert to fraction form
    610.25/842.15 = 334.25/x
  3. Step 3: Cross multiply
    610.25x = 842.15 × 334.25
  4. Step 4: Simplify right side
    610.25x = 281,486.97
  5. Step 5: Solve for x
    x = 281,486.97/610.25
  6. Step 6: Final answer
    x = 461.27

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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.