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Finding the Fourth Proportional to 739.55, 1,109.52 and 329.01

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Solution

The fourth proportional to 739.55, 1,109.52 and 329.01 is: 493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.55 : 1,109.52 = 329.01 : x
  2. Step 2: Convert to fraction form
    739.55/1,109.52 = 329.01/x
  3. Step 3: Cross multiply
    739.55x = 1,109.52 × 329.01
  4. Step 4: Simplify right side
    739.55x = 365,043.18
  5. Step 5: Solve for x
    x = 365,043.18/739.55
  6. Step 6: Final answer
    x = 493.60

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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.