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Finding the Fourth Proportional to 617.37, 926.46 and 329.01

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Solution

The fourth proportional to 617.37, 926.46 and 329.01 is: 493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.37 : 926.46 = 329.01 : x
  2. Step 2: Convert to fraction form
    617.37/926.46 = 329.01/x
  3. Step 3: Cross multiply
    617.37x = 926.46 × 329.01
  4. Step 4: Simplify right side
    617.37x = 304,814.60
  5. Step 5: Solve for x
    x = 304,814.60/617.37
  6. Step 6: Final answer
    x = 493.73

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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.