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Finding the Fourth Proportional to 719.22, 1,079.28 and 329.16

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Solution

The fourth proportional to 719.22, 1,079.28 and 329.16 is: 493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.22 : 1,079.28 = 329.16 : x
  2. Step 2: Convert to fraction form
    719.22/1,079.28 = 329.16/x
  3. Step 3: Cross multiply
    719.22x = 1,079.28 × 329.16
  4. Step 4: Simplify right side
    719.22x = 355,255.80
  5. Step 5: Solve for x
    x = 355,255.80/719.22
  6. Step 6: Final answer
    x = 493.95

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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.