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Finding the Fourth Proportional to 610.12, 842.10 and 374.26

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Solution

The fourth proportional to 610.12, 842.10 and 374.26 is: 516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.12 : 842.10 = 374.26 : x
  2. Step 2: Convert to fraction form
    610.12/842.10 = 374.26/x
  3. Step 3: Cross multiply
    610.12x = 842.10 × 374.26
  4. Step 4: Simplify right side
    610.12x = 315,164.35
  5. Step 5: Solve for x
    x = 315,164.35/610.12
  6. Step 6: Final answer
    x = 516.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.