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Finding the Fourth Proportional to 617.94, 926.91 and 329.58

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Solution

The fourth proportional to 617.94, 926.91 and 329.58 is: 494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 926.91 = 329.58 : x
  2. Step 2: Convert to fraction form
    617.94/926.91 = 329.58/x
  3. Step 3: Cross multiply
    617.94x = 926.91 × 329.58
  4. Step 4: Simplify right side
    617.94x = 305,491.00
  5. Step 5: Solve for x
    x = 305,491.00/617.94
  6. Step 6: Final answer
    x = 494.37

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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.