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Finding the Fourth Proportional to 609.98, 842.26 and 478.76

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Solution

The fourth proportional to 609.98, 842.26 and 478.76 is: 661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.98 : 842.26 = 478.76 : x
  2. Step 2: Convert to fraction form
    609.98/842.26 = 478.76/x
  3. Step 3: Cross multiply
    609.98x = 842.26 × 478.76
  4. Step 4: Simplify right side
    609.98x = 403,240.40
  5. Step 5: Solve for x
    x = 403,240.40/609.98
  6. Step 6: Final answer
    x = 661.07

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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.