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Finding the Fourth Proportional to 609.60, 914.01 and 262.92

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Solution

The fourth proportional to 609.60, 914.01 and 262.92 is: 394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.60 : 914.01 = 262.92 : x
  2. Step 2: Convert to fraction form
    609.60/914.01 = 262.92/x
  3. Step 3: Cross multiply
    609.60x = 914.01 × 262.92
  4. Step 4: Simplify right side
    609.60x = 240,311.51
  5. Step 5: Solve for x
    x = 240,311.51/609.60
  6. Step 6: Final answer
    x = 394.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.