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Finding the Fourth Proportional to 617.48, 926.21 and 412.44

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Solution

The fourth proportional to 617.48, 926.21 and 412.44 is: 618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.48 : 926.21 = 412.44 : x
  2. Step 2: Convert to fraction form
    617.48/926.21 = 412.44/x
  3. Step 3: Cross multiply
    617.48x = 926.21 × 412.44
  4. Step 4: Simplify right side
    617.48x = 382,003.99
  5. Step 5: Solve for x
    x = 382,003.99/617.48
  6. Step 6: Final answer
    x = 618.65

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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.