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Finding the Fourth Proportional to 609.44, 914.16 and 417.44

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Solution

The fourth proportional to 609.44, 914.16 and 417.44 is: 626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.44 : 914.16 = 417.44 : x
  2. Step 2: Convert to fraction form
    609.44/914.16 = 417.44/x
  3. Step 3: Cross multiply
    609.44x = 914.16 × 417.44
  4. Step 4: Simplify right side
    609.44x = 381,606.95
  5. Step 5: Solve for x
    x = 381,606.95/609.44
  6. Step 6: Final answer
    x = 626.16

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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.