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Finding the Fourth Proportional to 610.03, 842.17 and 421.25

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Solution

The fourth proportional to 610.03, 842.17 and 421.25 is: 581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.03 : 842.17 = 421.25 : x
  2. Step 2: Convert to fraction form
    610.03/842.17 = 421.25/x
  3. Step 3: Cross multiply
    610.03x = 842.17 × 421.25
  4. Step 4: Simplify right side
    610.03x = 354,764.11
  5. Step 5: Solve for x
    x = 354,764.11/610.03
  6. Step 6: Final answer
    x = 581.56

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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.